Information on Result #1304413
Linear OA(371, 121, F3, 27) (dual of [121, 50, 28]-code), using 5 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0) based on linear OA(367, 112, F3, 27) (dual of [112, 45, 28]-code), using
- concatenation of two codes [i] based on
- linear OA(2713, 28, F27, 13) (dual of [28, 15, 14]-code or 28-arc in PG(12,27)), using
- extended Reed–Solomon code RSe(15,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2713, 28, F27, 13) (dual of [28, 15, 14]-code or 28-arc in PG(12,27)), using
Mode: 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.