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A new iterative computer search algorithm for good quasi-twisted codes
Högskolan Kristianstad, Sektionen för hälsa och samhälle, Avdelningen för Design och datavetenskap.ORCID-id: 0000-0002-2492-7754
2015 (engelsk)Inngår i: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 76, nr 2, s. 307-323Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

As a generalization to cyclic and consta-cyclic codes, quasi-twisted (QT) codes contain many good linear codes. During the last twenty years, a lot of record-breaking codes have been found by computer search for good QT codes. But due to the time complexity, very few QT codes have been reported recently. In this paper, a new iterative, heuristic computer search algorithm is presented, and a lot of new QT codes have been obtained. With these results, a total of 45 entries in the code tables for the best-known codes have been improved. Also, as an example to show the effectiveness of the algorithm, 8 better binary quasi-cyclic codes with dimension 12 and m = 13 than previously best-known results are constructed.

sted, utgiver, år, opplag, sider
2015. Vol. 76, nr 2, s. 307-323
Emneord [en]
best-known codes, coding theory, search algorithm, linear codes, quasi-twisted codes, simplex code
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Identifikatorer
URN: urn:nbn:se:hkr:diva-11871DOI: 10.1007/s10623-014-9950-8ISI: 000356360000010OAI: oai:DiVA.org:hkr-11871DiVA, id: diva2:706437
Tilgjengelig fra: 2014-03-20 Laget: 2014-03-20 Sist oppdatert: 2018-01-11bibliografisk kontrollert

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