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Jens P. Pedersen

dblp:51/797 · DBLP profile ↗
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1ranked-venue papers
1as first author
0since 2021 · last 1991
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1 · 1 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Coding theory · 100%

Topics — the 3 heaviest of 3, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Coding theory › error-correcting codes › block codes
MDS codes
0.011991
Classification of pseudo-cyclic MDS codes · IEEE Trans. Inf. Theory 1991
Coding theory › error-correcting codes › block codes › linear code
pseudo-cyclic codes
0.011991
Classification of pseudo-cyclic MDS codes · IEEE Trans. Inf. Theory 1991
Coding theory › error-correcting codes › algebraic geometry code
generalized reed-solomon codes
0.011991
Classification of pseudo-cyclic MDS codes · IEEE Trans. Inf. Theory 1991

Methods — techniques the papers use, named apart from their topics

finite field analysis · 0.0algebraic coding theory · 0.0
YearPublicationVenuePosition
1991 Classification of pseudo-cyclic MDS codes
abstract
Linear codes are considered. A code is characterized by the length n, the dimension k, and the minimum distance d. An (n,k,d) code over the finite field GF(q) is said to be maximum distance separable (MDS) if d=n-k+1. A. Krishna and D.V. Sarwate (1990) investigated the existence of pseudo-cyclic MDS codes over GF(q) of length n, where n divides q-1 or q+1. It is shown that the pseudo-cyclic MDS codes constructed by Krishna and Sarwate are generalised Reed-Solomon codes. Pseudo-cyclic codes are studied over GF(q), where n and q=p/sup h/ are not relatively prime. It is proven that pseudo-cyclic (n,k) MDS codes modulo (x/sup n/-a) over GF(q) exist, if and only if n= p. Furthermore, any pseudo-cyclic (p,k) code modulo (x/sup p/-a) over GF(q) turns out to be MDS and generalized Reed-Solomon. It is explicitly proven that some classes of pseudo-cyclic (n,k) MDS codes over GF(q) are generalized Reed-Solomon codes. Furthermore, pseudo-cyclic (q+1,4) MDS codes over GF(q), q even, are completely classified.>
Jens P. Pedersen, Carsten Dahl
IEEE Trans. Inf. Theory1