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Construction of one-Lee weight and two-Lee weight codes over F p + vF p

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Abstract

This paper is devoted to the construction of one-Lee weight codes and two-Lee weight codes over F p + vF p (v 2 = v) with type \({p^{2{k_1}}}{p^{{k_2}}}{p^{{k_3}}}\) based on two different distance-preserving Gray maps from ((F p + vF p )n, Lee weight) to (F 2n p , Hamming weight), where p is a prime. Moreover, the authors prove that the obtained two-Lee weight codes are projective only when p = 2.

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Correspondence to Minjia Shi.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61202068, Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China under Grant No. 05015133, the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University under Grant No. 2015D11, and Key Projects of Support Program for Outstanding Young Talents in Colleges and Universities under Grant No. gxyqZD2016008.

This paper was recommended for publication by Editor ZHANG Zhifang.

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Shi, M., Luo, Y. & Solé, P. Construction of one-Lee weight and two-Lee weight codes over F p + vF p . J Syst Sci Complex 30, 484–493 (2017). https://doi.org/10.1007/s11424-016-5062-z

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  • DOI: https://doi.org/10.1007/s11424-016-5062-z

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