Two families of two-weight codes over Z 4

Minjia Shi (1) , Wang Xuan (1) , Patrick Solé (2)

1 School of Mathematical Sciences [Anhui]
2 I2M - Institut de Mathématiques de Marseille

1 Two infinite families of Z 4-codes with two nonzero Lee weights are constructed by their 2 generator matrices. Their Gray images are nonlinear with the same weight distribution as 3 that of the two-weight binary codes of type SU1 in the sense of (Calderbank, Kantor, 1986). 4

Domaines: Mathématiques [math]

Minjia Shi, Wang Xuan, Patrick Solé. Two families of two-weight codes over Z 4. Designs, Codes and Cryptography, 2020, ⟨10.1007/s10623-020-00796-x⟩. ⟨hal-02943701⟩