Information on Result #1304973
Linear OA(388, 117, F3, 39) (dual of [117, 29, 40]-code), using 2 step Varšamov–Edel lengthening with (ri) = (2, 1) based on linear OA(385, 112, F3, 39) (dual of [112, 27, 40]-code), using
- concatenation of two codes [i] based on
- linear OA(2719, 28, F27, 19) (dual of [28, 9, 20]-code or 28-arc in PG(18,27)), using
- extended Reed–Solomon code RSe(9,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2719, 28, F27, 19) (dual of [28, 9, 20]-code or 28-arc in PG(18,27)), 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.