Results 21 to 30 of about 153,643 (269)
p-Adic estimates of Hamming weights in Abelian codes over Galois rings [PDF]
, 2006 A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic codes is proved in this paper by means of counting polynomial techniques introduced by Wilson along with a technique known as trace-averaging introduced ...
Katz, Daniel J.
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Monomial codes seen as invariant subspaces
Open Mathematics, 2017 It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known.
García-Planas María Isabel +2 more
doaj +1 more source
Five Families of Three-Weight Ternary Cyclic Codes and Their Duals
, 2013 As a subclass of linear codes, cyclic codes have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms.
Ding, Cunsheng +2 more
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Optimal quinary cyclic codes with minimum distance four
Tongxin xuebao, 2017 Cyclic codes are an extremely important subclass of linear codes.They are widely used in the communication systems and data storage systems because they have efficient encoding and decoding algorithm.Until now,how to construct the optimal ternary cyclic ...
Ye TIAN, Yu-qing ZHANG, Yu-pu HU
doaj +2 more sources
IEEE Access, 2020 Let p be an odd prime, q = pm, R = Fq + uFq with u2 = 1, and S = Fq + uFq + vFq + uvFq with u2 = 1, v2 = 1, uv = vu. In this paper, FqRS-cyclic codes over FqRS are studied.
Hai Q. Dinh +4 more
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Reproducible families of codes and cryptographic applications
Journal of Mathematical Cryptology, 2021 Structured linear block codes such as cyclic, quasi-cyclic and quasi-dyadic codes have gained an increasing role in recent years both in the context of error control and in that of code-based cryptography.
Santini Paolo +2 more
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Binary Cyclic Codes from Explicit Polynomials over $\gf(2^m)$
, 2013 Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, monomials and trinomials over finite fields
Ding, Cunsheng, Zhou, Zhengchun
core +2 more sources
Subspace Polynomials and Cyclic Subspace Codes
, 2015 Subspace codes have received an increasing interest recently due to their application in error-correction for random network coding. In particular, cyclic subspace codes are possible candidates for large codes with efficient encoding and decoding ...
Ben-Sasson, Eli +3 more
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Clinical Course and Impact of Breaks in Therapy for Children With Relapsed/Refractory Solid Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pediatric relapsed or refractory (R/R) solid tumors carry a dismal prognosis, and postrelapse patient experiences are not well described. We present postrelapse outcomes, including number of R/R events and subsequent therapy regimens.
Matthew T. McEvoy +5 more
wiley +1 more source
Quantum MDS and Synchronizable Codes From Cyclic and Negacyclic Codes of Length 2
IEEE Access, 2020 Let p be an odd prime, and Fp(m) is the finite field of pm elements. In this paper, all maximum distance separable (briefly, MDS) cyclic and negacyclic codes of length 2ps over Fp(m) are established.
Hai Q. Dinh +2 more
doaj +1 more source