In this paper, two different Gray-like maps from Z p α× Z pk β, where p is prime, to Z pn, n= α t
βp k-1, denoted by φ and Φ, respectively, are presented. We have determined the …

Z ps-additive codes of length n are subgroups of Z psn, and can be seen as a generalization
of linear codes over Z 2, Z 4, or Z 2 s in general. AZ ps-linear generalized Hadamard (GH) …

Linear codes of length n over Z ps, p prime, called Z ps-additive codes, can be seen as
subgroups of Z psn. AZ ps-linear generalized Hadamard (GH) code is a GH code over Z p …

The Z p Z p 2-additive codes are subgroups of Z p α 1× Z p 2 α 2, and can be seen as linear
codes over Z p when α 2= 0, Z p 2-additive codes when α 1= 0, or Z 2 Z 4-additive codes …

The Z 2 (s)-additive codes are subgroups of Z n 2 (s), and can be seen as a generalization of
linear codes over Z 2 and Z 4. AZ 2 (s)-linear Hadamard code is a binary Hadamard code …

The Z 2 s-additive codes are subgroups of Z 2 sn, and can be seen as a generalization of
linear codes over Z 2 and Z 4. AZ 2 s-linear Hadamard code is a binary Hadamard code …

The theory developed for ℤ 2 ℤ 4-additive codes is the starting point for much generalization
about codes over mixed alphabets. They have opened a new, emergent area of …

The Z p Z p 2-additive codes are subgroups of Z p α 1× Z p 2 α 2, and can be seen as linear
codes over Z p when α 2= 0, Z p 2-additive codes when α 1= 0, or Z 2 Z 4-additive codes …

It is known that Z p s-linear codes, which are the Gray map image of Z p s-additive codes
(linear codes over Z ps), are systematic and a systematic encoding has been found. This …

The ZpZp2-additive codes are subgroups of Zα1 p× Zα2 p2, and can be seen as linear
codes over Zp when α2= 0, Zp2-additive codes when α1= 0, or Z2Z4-additive codes when …