Results 201 to 210 of about 2,363,882 (233)

Maximum distance separable symbol-pair codes

open access: yes2012 IEEE International Symposium on Information Theory Proceedings, 2012
We study (symbol-pair) codes for symbol-pair read channels introduced recently by Cassuto and Blaum (2010). A Singleton-type bound on symbol-pair codes is established and infinite families of optimal symbol-pair codes are constructed. These codes are maximum distance separable (MDS) in the sense that they meet the Singleton-type bound.
Yeow Meng Chee   +2 more
openaire   +4 more sources

On the symbol-pair distance of some classes of repeated-root constacyclic codes over Galois ring

Applicable Algebra in Engineering, Communications and Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abhay Kumar Singh   +2 more
exaly   +2 more sources

On symbol-pair distance distributions of repeated-root constacyclic codes of length $ 4p^s $ and MDS codes

Advances in Mathematics of Communications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Madhu Kant Thakur   +2 more
exaly   +3 more sources

On symbol-pair distances of repeated-root constacyclic codes of length $$2p^s$$ over $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$$ and MDS symbol-pair codes

Applicable Algebra in Engineering, Communication and Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai Q. Dinh 0001   +2 more
openaire   +2 more sources

Symbol-Pair Distances of Repeated-Root Negacyclic Codes of Length 2s over Galois Rings

Algebra Colloquium, 2021
Negacyclic codes of length [Formula: see text] over the Galois ring [Formula: see text] are linearly ordered under set-theoretic inclusion, i.e., they are the ideals [Formula: see text], [Formula: see text], of the chain ring [Formula: see text]. This structure is used to obtain the symbol-pair distances of all such negacyclic codes. Among others, for
Hai Q. Dinh   +3 more
openaire   +1 more source

Symbol-pair distance of some repeated-root constacyclic codes of length $$p^s$$ over the Galois ring $${{\,\mathrm{GR}\,}}(p^a,m)$$

Applicable Algebra in Engineering, Communication and Computing, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai Q. Dinh 0001   +2 more
openaire   +1 more source

On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths

IEEE Transactions on Information Theory, 2018
Let $p$ be a prime, and $\lambda$ be a nonzero element of the finite field $\mathbb F_{p^{m}}$ . The $\lambda$ -constacyclic codes of length $p^{s}$ over $\mathbb F_{p^{m}}$ are linearly ordered under set-theoretic inclusion, i.e., they are the ideals $\langle (x-\lambda _{0})^{i} \rangle$ , $0 \leq i \leq p^{s}
Hai Q. Dinh 0001   +3 more
openaire   +1 more source

On the symbol-pair distances of repeated-root constacyclic codes of length 2ps

Discrete Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai Q. Dinh 0001   +3 more
openaire   +1 more source

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