Information on Result #1298114
Linear OA(377, 118, F3, 31) (dual of [118, 41, 32]-code), using construction X with Varšamov bound based on
- linear OA(373, 112, F3, 31) (dual of [112, 39, 32]-code), using
- concatenation of two codes [i] based on
- linear OA(2715, 28, F27, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,27)), using
- extended Reed–Solomon code RSe(13,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2715, 28, F27, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,27)), using
- concatenation of two codes [i] based on
- linear OA(373, 114, F3, 28) (dual of [114, 41, 29]-code), using Gilbert–Varšamov bound and bm = 373 > Vbs−1(k−1) = 13415 566582 377409 883018 653012 400195 [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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.