| CPC H04L 9/3247 (2013.01) [H04L 9/0825 (2013.01); H04L 9/0861 (2013.01); H04L 9/30 (2013.01); H04L 9/3213 (2013.01); H04L 9/3236 (2013.01)] | 25 Claims |

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1. A system comprising:
a first device configured for:
generating a hash of data;
generating a digital signature based at least in part on the hash, random data, and a private key; and
a second device communicatively coupled to the first device over a network, the second device configured for:
receiving the data, the digital signature, and a public key; and
verifying the digital signature in response to determining that a relation is fulfilled, wherein the public key comprises a first set of singular matrices, wherein the digital signature corresponds to a set of matrices, and wherein the random data comprises a first set of non-singular matrices, and the private key comprises a second set of singular matrices and a second set of non-singular matrices.
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