Construction of one-Lee weight and two-Lee weight codes over Fp + vFp |
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| Authors: | Minjia Shi Yong Luo Patrick Solé |
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| Affiliation: | 1.Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education,Anhui University,Hefei,China;2.School of Mathematical Sciences,Anhui University,Hefei,China;3.National Mobile Communications Research Laboratory,Southeast University,Nanjing,China;4.Telecom ParisTech,Paris,France |
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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 p 2n , 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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