Z4-Linear Perfect Codes

Abstract

For every $n=2^k>8$ there exist exactly $[(k+1)/2]$ mutually nonequivalent $Z_4$-linear extended perfect codes with distance 4. All these codes have different ranks.

15p. Bibliography updated

Cited by in corpus (4)

• On $Z_{2^k}$-Dual Binary Codes
• Propelinear 1-perfect codes from quadratic functions
• New characterisations of the Nordstrom-Robinson codes
• There is exactly one Z2Z4-cyclic 1-perfect code