Information on Result #622049
Linear OA(4114, 122, F4, 67) (dual of [122, 8, 68]-code), using construction X applied to C2 ⊂ C0 based on
- linear OA(483, 85, F4, 67) (dual of [85, 2, 68]-code), using code C2 for u = 4 by de Boer and Brouwer [i]
- linear OA(475, 85, F4, 47) (dual of [85, 10, 48]-code), using code C0 for u = 4 by de Boer and Brouwer [i]
- linear OA(431, 37, F4, 19) (dual of [37, 6, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(431, 39, F4, 19) (dual of [39, 8, 20]-code), using
- concatenation of two codes [i] based on
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(431, 39, F4, 19) (dual of [39, 8, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.