OPTIMAL LINEAR CODES OVER GF (7) AND GF (11) WITH DIMENSION 3

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EMAMI M.; PEDRAM L.

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2015 | Volume:10 | Issue:1 Page(s): 11-22

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Title

OPTIMAL LINEAR CODES OVER GF (7) AND GF (11) WITH DIMENSION 3

Author(s)

EMAMI M. | PEDRAM L. | Issue Writer Certificate

Keywords

LINEAR CODES

OPTIMAL CODES

GRIESMER BOUND

Abstract

Let nq (k, d) denote the smallest value of n for which there exists a linear [n, k, d]-code over the Galois field GF (q). An [n, k, d]-code whose length is equal to nq (k, d) is called optimal. In this paper we present some matrix generators for the family of optimal [n, 3, d] codes over GF (7) and GF (11). Most of our given codes in GF (7) are non-isomorphic with the codes presented before. Our given codes in GF (11) are all new.

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APA: Copy

EMAMI, M., & PEDRAM, L.. (2015). OPTIMAL LINEAR CODES OVER GF (7) AND GF (11) WITH DIMENSION 3. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 10(1), 11-22. SID. https://sid.ir/paper/310389/en

Vancouver: Copy

EMAMI M., PEDRAM L.. OPTIMAL LINEAR CODES OVER GF (7) AND GF (11) WITH DIMENSION 3. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2015;10(1):11-22. Available from: https://sid.ir/paper/310389/en

IEEE: Copy

M. EMAMI, and L. PEDRAM, “OPTIMAL LINEAR CODES OVER GF (7) AND GF (11) WITH DIMENSION 3,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 10, no. 1, pp. 11–22, 2015, [Online]. Available: https://sid.ir/paper/310389/en

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