Information on Result #1477519
Linear OOA(3240, 992, F3, 3, 51) (dual of [(992, 3), 2736, 52]-NRT-code), using OOA 2-folding based on linear OOA(3240, 1984, F3, 2, 51) (dual of [(1984, 2), 3728, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 1985, F3, 2, 51) (dual of [(1985, 2), 3730, 52]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 1985, F3, 51) (dual of [1985, 1745, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 2203, F3, 51) (dual of [2203, 1963, 52]-code), using
- construction X applied to C([0,25]) ⊂ C([0,24]) [i] based on
- linear OA(3239, 2188, F3, 51) (dual of [2188, 1949, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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
- construction X applied to C([0,25]) ⊂ C([0,24]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3240, 2203, F3, 51) (dual of [2203, 1963, 52]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 1985, F3, 51) (dual of [1985, 1745, 52]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.