Rank-metric codeZeta functionBinomial momentsGeneralized rank weightsGeneralized rank weight distributionIn this paper we introduce a new class of extremal codes, namely the i-BMD codes. We show that for this family several of the invariants are determined by the parameters of the underlying code. ...
Factorization of symmetric matrices and trace-orthogonal bases in finite fields SIAM J. Comput., 9 (4) (1980), pp. 758-767 CrossrefGoogle Scholar Cited by (13) Rank-Metric Codes and Their Applications 2022, Foundations and Trends in Communications and Information Theory Rank-metric complementary...
Optimal codes are of great interest in coding theory and often have rigidity properties, which make them interesting as combinatorial objects. Perhaps the best known class of optimal codes in the rank-metric are the maximum rank distance (MRD) codes. This family were first introduced in the codi...
procedures. A major disadvantage of these systems is relatively largesize of a public key.To partly avoid this disadvantage, the authors of [2] suggested a PKC based on codes in the rankmetric (rank codes). This PKC is in the sequel referred to as the GPT public-key cryptosystem.Apparently...
Applications of rank-metric codes Definition Schemes based on rank codes appear in many areas of communications, cryptography, and information theory.Background The rank function defined on the set of matrices (or vectors) is in fact the norm function. The well-known inequalities for sums of matr...
Ravagnani, A.: Rank-metric codes and their duality theory. Des. Codes Cryptogr. 80, 197–216 (2016) Article MathSciNet MATH Google Scholar Sheekey, J.: A new family of linear maximum rank distance codes. Adv. Math. Commun. 10, 475–488 (2016) Article MathSciNet MATH Google Scholar...
The theory and applications are considered. EM Gabidulin - 《IEEE Trans.inform.theory》 被引量: 50发表: 1992年 Comments on "Maximum-rank arrays codes and their application to crisscross error correction" [with reply] Roth R.M.: Maximum-rank array codes and their application to crisscross ...
READ: College Applications Are on the Rise: What to Know. "The bar graph will actually change every year based on the GPA distribution of that graduating class," she says. "And then the student could see where they lie in relation to their peers in that particular graduating class. But ...
Each dataset is split into a test set and a database, and ex- amples from the database are used in training. At test time, queries from the test set are used to perform Hamming rank- ing on the database, and the performance metric is averaged over the test set. • CIFAR-10 is...
Keywords Rank metric code q-Steiner system Dually AMRD code 1. Introduction The interest in q-analogs of codes and designs has been increased over the last years due to their applications in random network coding. It is well-known that a network code C consisting of k-dimensional subspaces ...