Information on Result #1304714
Linear OA(384, 125, F3, 34) (dual of [125, 41, 35]-code), using 8 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 1, 0, 1, 0) based on linear OA(378, 111, F3, 34) (dual of [111, 33, 35]-code), using
- 1 times truncation [i] based on linear OA(379, 112, F3, 35) (dual of [112, 33, 36]-code), using
- concatenation of two codes [i] based on
- linear OA(2717, 28, F27, 17) (dual of [28, 11, 18]-code or 28-arc in PG(16,27)), using
- extended Reed–Solomon code RSe(11,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2717, 28, F27, 17) (dual of [28, 11, 18]-code or 28-arc in PG(16,27)), using
- concatenation of two codes [i] based on
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.