Designs, Codes and Cryptography
On the classification of all self-dual additive codes over GF(4) of length up to 12
Journal of Combinatorial Theory Series A
G-projectable and Λ-projectable binary linear block codes
Designs, Codes and Cryptography
Formally self-dual additive codes over F4
Journal of Symbolic Computation
Directed graph representation of half-rate additive codes over GF(4)
Designs, Codes and Cryptography
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We study certain projections of binary linear codes onto larger fields. These projections include the well-known projection of the extended Golay [24,12,8] code onto the hexacode over $\mbox{GF}(4)$ and the projection of the Reed--Muller code R(2,5) onto the unique self-dual [8,4,4] code over $\mbox{GF}(4)$. We give a characterization of these projections, and we construct several binary linear codes which have best known optimal parameters, for instance, [20,11,5], [40,22,8], [48,21,12], and [72,31,16]. We also relate the automorphism group of a quaternary code to that of the corresponding binary code.