Results 21 to 30 of about 29,101,112 (306)
Hermitian Rank Metric Codes and Duality
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz +2 more
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Optimal Binary Linear Codes From Maximal Arcs [PDF]
IEEE Transactions on Information Theory, 2020 The binary Hamming codes with parameters $[{2^{m}-1, 2^{m}-1-m, 3}]$ are perfect. Their extended codes have parameters $[{2^{m}, 2^{m}-1-m, 4}]$ and are distance-optimal.
Ziling Heng, C. Ding, Weiqiong Wang
semanticscholar +1 more source
PLoS ONE, 2019 Code modulated Visual Evoked Potentials (c-VEP) based BCI studies usually employ m-sequences as a modulating codes for their broadband spectrum and correlation property. However, subjective fatigue of the presented codes has been a problem. In this study,
Zahra Shirzhiyan +7 more
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Subspace Codes Based on Partial Injective Maps of Vector Spaces Over Finite Fields
IEEE Access, 2020 Subspace codes are widely used in error corrections of random network coding. In this article, subspace codes based on partial injective maps of vector spaces over finite fields are considered. Several bounds of the subspace codes (n, M, 2b, e)q based on
Hong-Li Wang, Gang Wang, You Gao
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Two Families of Optimal Ternary Cyclic Codes With Two Zeros
IEEE Access, 2022 Cyclic codes are an important subclass of linear codes and have wide applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decoding algorithms.
Jinmei Fan, Binseng Wang
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Application of the French Codes to the Pressurized Thermal Shocks Assessment
Nuclear Engineering and Technology, 2016 The integrity of a reactor pressure vessel (RPV) related to pressurized thermal shocks (PTSs) has been extensively studied. This paper introduces an integrity assessment of an RPV subjected to a PTS transient based on the French codes.
Mingya Chen +8 more
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IEEE Access, 2019 MDS codes have the highest possible error-detecting and error-correcting capability among codes of given length and size. Let p be any prime, and s, m be positive integers.
H. Q. Dinh +5 more
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A Study of FqR-Cyclic Codes and Their Applications in Constructing Quantum Codes
IEEE Access, 2020 Let R = Fq + uFq + vFq + uvFq, with u2 = u, v2 = v, uv = vu, where q = pm for a positive integer m and an odd prime p. We study the algebraic structure of FqR-cyclic codes of block length (r, s). These codes can be viewed as R[x]-submodules of Fq[x]/(xr -
Hai Q. Dinh +4 more
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Multi-CRC Polar Codes and M-SCFlip-Based Decoding
IEEE Access, 2019 A multi-cyclic redundancy check (Multi-CRC) polar code construction algorithm is proposed in this paper to solve the error propagation problem of successive cancellation decoding for polar codes.
Rui Guo, Kangni Chen, Huaping Liu
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Hamming Distance of Constacyclic Codes of Length
IEEE Access, 2021 Let $p$ be any prime, $s$ and $m$ be positive integers. In this paper, we completely determine the Hamming distance of all constacyclic codes of length $p^s$ over the finite commutative chain ring $\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m} + u^{2 ...
Hai Q. Dinh +3 more
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