Results 41 to 50 of about 5,817,872 (291)
Hermitian Rank Metric Codes and Duality
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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Construction of MDS self-dual codes over Galois rings
The purpose of this paper is to construct nontrivial MDS self-dual codes over Galois rings. We consider a building-up construction of self-dual codes over Galois rings as a GF(q)-analogue of (Kim and Lee, J Combin Theory ser A, 105:79-95).
이윤진
core +1 more source
MDR codes and self-dual codes on Cartesian product codes
A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
doaj +2 more sources
Self-Dual Codes over Commutative Frobenius Rings [PDF]
We prove that self-dual codes exist over all finite commutative Frobenius rings, via their decomposition by the Chinese Remainder Theorem into local rings.
Steven T. Dougherty +7 more
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Enumeration of Self-Dual Codes of Length 6 over ℤp
The purpose of this paper is to classify and enumerate self-dual codes of length 6 over finite field Z p .
Whan-Hyuk Choi
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Construction of extremal self-dual codes over Z8 and Z16
We present a method of constructing free self-dual codes over Z8 and Z16 which are extremal or optimal with respect to the Hamming weight. We first prove that every (extremal or optimal) free self-dual code over Z2m can be found from a binary (extremal ...
이윤진
core +1 more source
Formally self-dual additive codes over F4 [PDF]
Additive codes over F4 have been of great interest due to their application to quantum error correction. As another application, we introduce a new class of formally self-dual additive codes over F4, which is a natural analogue of the binary formally ...
Han, Sunghyu +3 more
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Construction of new extremal self-dual codes [PDF]
In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed.
Harada, Masaaki +2 more
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source
The Build-Up Construction for Codes over a Commutative Non-Unitary Ring of Order 9
The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order 4, to generate quasi self-dual codes.
Adel Alahmadi +4 more
doaj +1 more source

