Information on Result #1298112
Linear OA(375, 115, F3, 31) (dual of [115, 40, 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, 113, F3, 29) (dual of [113, 40, 30]-code), using Gilbert–Varšamov bound and bm = 373 > Vbs−1(k−1) = 62684 856107 291322 660462 568615 293633 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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 (see above)
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.