A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Nonlinear codes defined by quadratic forms over GF(2)
1976
Information and Control
An investigation is made of the family of codes which are supercodes of the first-order and subcodes of the second-order Reed-Muller codes. These codes are in a one-to-one correspondence with subsets of alternating bilinear forms and it is shown how their distance enumerators can be obtained. A nice duality relation is defined on the set of linear codes in this family which relates their weight enumerators. The best codes of this family are defined and constructed, most of which are new
doi:10.1016/s0019-9958(76)90384-3
fatcat:iu5jwneiangh7nqubeypn2tjam