JPWO2021003204A5 - - Google Patents

Claims (59)

a method,
receiving, via a processor, a first vector;
splitting, via the processor, the first vector to generate a magnitude vector and a code vector;
Via said processor a second vector comprising a modified magnitude vector and a modified code vector;
applying a transpose to the magnitude vector to produce the modified magnitude vector;
converting the code vector to an intermediate code vector based on an algorithm;
applying a plurality of nonlinear layers to the intermediate codevector, each nonlinear layer from the plurality of nonlinear layers including at least one of a transpose, an S-box transform, a spreading linear operation, or an Xor operation. , to generate the modified code vector; and
applying, via the processor, a plurality of linear layers to the second vector to generate a third vector, the third vector being a transformed version of the first vector; and generating
for transmission of a first signal representing said third vector to at least one transmitter and a second signal representing said transformed data vector from said at least one transmitter to at least one receiver; and transmitting to. 2. The method of claim 1, wherein converting the code vector is based on an initialization vector. 2. The method of claim 1, further comprising selecting said algorithm based on a cryptographic mode of operation of said processor. 2. The method of claim 1, wherein the algorithm comprises an Xor operation and the cryptographic mode of operation of the processor is Cipher Block Chaining (CBC) mode. 2. The method of claim 1, wherein the algorithm comprises an Xor operation and the cryptographic mode of operation of the processor is Electronic Codebook (ECB) mode. 2. The method of claim 1, wherein the number of nonlinear layers in said plurality of nonlinear layers is equal to the number of linear layers in said plurality of linear layers. 2. The method of claim 1, wherein the number of nonlinear layers in said plurality of nonlinear layers is different than the number of linear layers in said plurality of linear layers. at least one of the number of linear layers (“L”) in the plurality of linear layers or the number of nonlinear layers (“Q”) in the plurality of nonlinear layers is equal to [log ₂ (N)]. Item 1. The method according to item 1. 2. The method of claim 1, wherein at least one of the number of nonlinear layers in the plurality of nonlinear layers or the number of linear layers in the plurality of linear layers is based on performance constraints. 2. The method of claim 1, wherein at least one of the number of nonlinear layers in the plurality of nonlinear layers or the number of linear layers in the plurality of linear layers is based on security constraints. 2. The method of claim 1, wherein the transposition applied to the magnitude vector does not reduce the total power of the first vector. a method,
receiving, via a processor, an input vector containing a plurality of complex numbers;
Via the processor, based on the input vector, a transformed vector by:
applying a transpose to a magnitude vector associated with the input vector to produce a modified magnitude vector;
applying an algorithm and multiple nonlinear layers to a code vector associated with the input vector to generate a modified code vector, the modified magnitude vector and the modified code vector comprising: defining and generating an intermediate vector;
applying a plurality of linear layers to the intermediate vector to generate the transformed vector;
for transmission of a first signal representing said transformed vector to at least one transmitter and from said at least one transmitter to at least one receiver a second signal representing said transformed vector; A method comprising transmitting. 13. The method of claim 12, wherein each nonlinear layer from the plurality of nonlinear layers includes at least one of a transpose, an S-box transform, a diffuse linear operation, or an Xor operation. 13. The method of claim 12, further comprising selecting the algorithm based on a cryptographic mode of operation of the processor. 13. The method of claim 12, wherein the algorithm comprises an Xor operation and the cryptographic mode of operation of the processor is one of Cipher Block Chaining (CBC) mode or Electronic Codebook (ECB) mode. 13. The method of claim 12, wherein the number of nonlinear layers in said plurality of nonlinear layers is equal to the number of linear layers in said plurality of linear layers. 13. The method of claim 12, wherein the number of nonlinear layers in said plurality of nonlinear layers is different than the number of linear layers in said plurality of linear layers. 3. At least one of the number of linear layers (“L”) in the plurality of linear layers or the number of nonlinear layers (“Q”) in the plurality of nonlinear layers is equal to [log ₂ (N)]. 12. The method according to 12. 13. The method of claim 12, wherein at least one of the number of nonlinear layers in the plurality of nonlinear layers or the number of linear layers in the plurality of linear layers is based on at least one of performance constraints or security constraints. Method. 13. The method of claim 12, wherein the transposition applied to the magnitude vector does not reduce the total power of the first vector. a method,
identifying, via a processor of a first computing device, a plurality of complex sets of data vectors;
a non-linear transform to each complex number set from the plurality of complex number sets comprising changing the phase of a first complex number from that complex number set based on a value associated with a second complex number from that complex number set. generating a transformed data vector by applying, each complex number set from the plurality of complex number sets having at least two complex numbers;
transmitting signals representing the transformed data vectors to a plurality of transmitters for transmission of signals representing the transformed data vectors from the plurality of transmitters to a plurality of receivers;
transmitting a signal representing the nonlinear transform to a second computing device for transmission of the nonlinear transform to the plurality of receivers for recovery of the data vector at the plurality of receivers; A method, including The non-linear transform is a first non-linear transform, and generating the transformed data vector includes performing a second non-linear transform before transmitting the signal representing the transformed data vector to the plurality of transmitters. 22. The method of claim 21, further comprising applying a non-linear transform. The plurality of complex number sets is a first plurality of complex number sets, and the method comprises:
identifying, via the processor, a second plurality of complex number sets of the data vector, wherein the second plurality of complex number sets is different from the first plurality of complex number sets. further comprising
22. The method of claim 21, wherein said generating said transformed data vector further comprises applying a second non-linear transformation to each complex number set from said second plurality of complex number sets. applying the nonlinear transform to each complex number set from the second plurality of complex number sets applies the nonlinear transformation to a first subset of complex number sets from the second plurality of complex number sets; and applying the nonlinear transform to a second subset of complex number sets from the second plurality of complex number sets, applying the nonlinear transform to the first subset, and to the second set. 24. The method of claim 23, wherein said applying said non-linear transforms is performed substantially in parallel. applying the non-linear transform to each complex number set from the plurality of complex number sets includes: applying the non-linear transformation to a first subset of complex number sets from the plurality of complex number sets; said applying said non-linear transform to said first subset and said applying said non-linear transform to said second set comprises applying said non-linear transform to a second subset of a set of complex numbers of , are performed substantially in parallel. 22. The method of claim 21, wherein generating the transformed data vector further comprises performing a linear transformation after applying the nonlinear transformation. 22. The method of claim 21, wherein generating the transformed data vector further comprises performing a discrete Fourier transform after applying the nonlinear transform. 22. The multiple receivers of claim 21, wherein the multiple receivers comprise multiple antenna arrays, and wherein the multiple receivers and the multiple transmitters are configured to perform Multiple Input Multiple Output (MIMO) operation. Method. 22. The method of claim 21, wherein the nonlinear transform is a norm preserving transform. Altering the phase of the first complex number from the set of complex numbers is further based on a predetermined factor, wherein the method determines the predetermined factor for recovery of the data vector at the plurality of receivers. 22. The method of claim 21, further comprising transmitting to the plurality of receivers a signal representative of a factor of . a system,
a plurality of receivers;
a plurality of transmitters;
at least one processor operatively coupled to the plurality of transmitters, the at least one processor comprising:
identifying a plurality of complex number sets of a data vector, each complex number set from the plurality of complex number sets having at least two complex numbers;
a non-linear transform to each complex number set from the plurality of complex number sets comprising changing the phase of a first complex number from that complex number set based on a value associated with a second complex number from that complex number set. generating a transformed data vector by applying, signals representing said transformed data vector to a plurality of transmitters, and from said plurality of transmitters to a plurality of receivers, said transformed data vector; and at least one processor configured to: transmit for transmission of a representative signal. The nonlinear transform is a first nonlinear transform, and the at least one processor applies a second nonlinear transform before transmitting the signal representing the transformed data vector to the plurality of transmitters. 32. The system of claim 31, further configured to generate the transformed data vector by: The plurality of complex number sets is a first plurality of complex number sets, and the at least one processor comprises:
identifying a second plurality of complex number sets of the data vector, wherein the second plurality of complex number sets is different from the first plurality of complex number sets;
31. Generating the transformed data vector by applying a second non-linear transform to each complex number set from the second plurality of complex number sets. The system described in . applying the nonlinear transformation to each complex number set from the first plurality of complex number sets and applying the nonlinear transformation to each complex number set from the second plurality of complex number sets are substantially concurrent. 34. The system of claim 33, wherein the system is implemented as The nonlinear transform is a first nonlinear transform, and the at least one processor applies a second nonlinear transform to each complex number set from the plurality of complex number sets to generate the transformed data vector. 32. The system of claim 31, further configured to perform the first nonlinear transformation and the second nonlinear transformation substantially in parallel. 32. The system of claim 31, wherein generating the transformed data vector further comprises performing a linear transformation after applying the nonlinear transformation. 32. The system of claim 31, wherein generating the transformed data vector further comprises performing a discrete Fourier transform after applying the nonlinear transform. 32. The claim 31, wherein the plurality of receivers comprises a plurality of antenna arrays, and wherein the plurality of receivers and the plurality of transmitters are configured to perform multiple input multiple output (MIMO) operation. system. 32. The system of claim 31, wherein the nonlinear transform is a norm preserving transform. to the processor, when executed by a processor,
receiving a first vector;
dividing the first vector to generate a magnitude vector and a code vector;
applying a transpose to the magnitude vector to produce the modified magnitude vector; algorithmically transforming the code vector into an intermediate code vector; converting a set of a series of nonlinear transformations into the intermediate code; generating a second vector comprising a modified magnitude vector and a modified code vector by applying to a vector to generate the modified code vector;
applying a series of a set of multiple linear transformations to the second vector to generate a third vector, the third vector being a transformed version of the first vector; and
for transmission of a first signal representing said third vector to at least one transmitter and a second signal representing said transformed data vector from said at least one transmitter to at least one receiver; and sending to
A non-transitory processor-readable medium that stores instructions to The instructions further include instructions for causing the processor to select the algorithm based on an encryption mode of operation of the processor, wherein the instructions for transforming the codevector transform the codevector based on an initial vector. 41. The non-transitory processor-readable medium of claim 40, comprising instructions. The instructions further include instructions for causing the processor to select the algorithm based on an encryption mode of operation of the processor, wherein the encryption mode of operation of the processor is a cipher block chaining (CBC) mode or an electronic 41. The non-transitory processor-readable medium of claim 40, wherein the non-transitory processor-readable medium is one of codebook (ECB) modes. The algorithm comprises an Xor operation, the cryptographic mode of operation of the processor is Cipher Block Chaining (CBC) mode, and the transposition applied to the magnitude vector is the total power of the first vector 41. The non-transitory processor-readable medium of claim 40, which does not decrease . The algorithm includes an Xor operation, the cryptographic mode of operation of the processor is an electronic codebook (ECB) mode, and the transposition applied to the magnitude vector is the total power of the first vector 41. The non-transitory processor-readable medium of claim 40, which does not decrease . wherein the number of nonlinear transform sets in the set of nonlinear transforms is equal to the number of linear transform sets in the set of linear transforms, and the algorithm is selected based on the encryption mode of operation of the processor; 41. The non-transitory processor-readable medium of claim 40, wherein the non-transitory processor-readable medium The number of nonlinear transform sets in the set of nonlinear transforms is different than the set of linear transforms in the set of linear transforms, and the algorithm is selected based on the encryption mode of operation of the processor. 41. The non-transitory processor-readable medium of claim 40. At least one of the number of linear transformation sets in the plurality of linear transformation sets or the number of nonlinear transformation sets in the plurality of nonlinear transformation sets is [log ₂ (N)], where N is an integer;
41. The non-transitory processor-readable medium of claim 40, wherein the cryptographic mode of operation of the processor is one of a cipher block chaining (CBC) mode or an electronic codebook (ECB) mode. at least one of a number of linear transform sets in the plurality of linear transform sets or a number of non-linear transform sets in the plurality of non-linear transform sets is based on a performance constraint; and 41. The non-transitory processor-readable medium of claim 40, wherein the encryption mode is one of Cipher Block Chaining (CBC) mode or Electronic Codebook (ECB) mode. at least one of a number of linear transform sets in the plurality of linear transform sets or a number of non-linear transform sets in the plurality of non-linear transform sets is based on a security constraint; and 41. The non-transitory processor-readable medium of claim 40, wherein the encryption mode is one of Cipher Block Chaining (CBC) mode or Electronic Codebook (ECB) mode. 41. The non-temporal algorithm of claim 40, wherein the algorithm is selected based on the encryption mode of operation of the processor, and wherein the transposition applied to the magnitude vector does not reduce the total power of the first vector. processor-readable medium. A system comprising a processor and memory operatively coupled to the processor, the memory, when executed by the processor, causing the processor to:
receiving an input vector;
Based on the input vector, the transformed vector is:
applying a transpose to a magnitude vector associated with the input vector to produce a modified magnitude vector;
applying an algorithm and a set of a series of nonlinear transformations to a code vector associated with the input vector to generate a modified code vector, wherein the modified magnitude vector and the modified the code vector defines and generates an intermediate vector;
applying a set of a series of multiple linear transformations to the intermediate vector to generate the transformed vector;
transmitting a signal representing the transformed vector to at least one transmitter;
A system that stores instructions to let the 52. The system of claim 51, wherein the set of non-linear transforms comprises at least two of a transpose, an S-box transform, a spreading linear operation, or an Xor operation. 53. The system of claim 52, wherein the memory further stores instructions for causing the processor to select the algorithm based on the encryption mode of operation of the processor. The algorithm includes an Xor operation, the cryptographic mode of operation of the processor is one of a cipher block chaining (CBC) mode or an electronic codebook (ECB) mode, and the cryptographic mode of operation of the processor is 52. The system of claim 51, wherein said algorithm is selected based on an activation mode. The number of nonlinear transform sets in the set of nonlinear transforms is equal to the number of linear transform sets in the set of linear transforms, and the encryption mode of operation of the processor is cipher block chaining (CBC). 52. The system of claim 51 in one of a mode or an electronic codebook (ECB) mode. The number of sets of nonlinear transforms in the set of nonlinear transforms is different than the number of sets of linear transforms in the set of linear transforms, and the encryption mode of operation of the processor is Cipher Block Chaining (CBC) ) mode or an electronic codebook (ECB) mode. At least one of the number of linear transformation sets in the plurality of linear transformation sets or the number of nonlinear transformation sets in the plurality of nonlinear transformation sets is [log ₂ (N)], where N is an integer;
52. The system of claim 51, wherein the cryptographic mode of operation of the processor is one of a cipher block chaining (CBC) mode or an electronic codebook (ECB) mode. At least one of the number of linear transform sets in the plurality of linear transform sets or the number of nonlinear transform sets in the plurality of nonlinear transform sets is based on at least one of performance constraints or security constraints. 52. The system of claim 51, wherein the cryptographic mode of operation of the processor is one of a cipher block chaining (CBC) mode or an electronic codebook (ECB) mode. The transposition applied to the magnitude vector does not reduce the total power of the first vector, and the cryptographic mode of operation of the processor is Cipher Block Chaining (CBC) mode or Electronic Codebook (ECB) 52. The system of claim 51, wherein said algorithm is selected based on said encryption mode of operation of said processor being one of modes.