Information on Result #1580856
Linear OOA(3230, 948, F3, 4, 49) (dual of [(948, 4), 3562, 50]-NRT-code), using OOA 2-folding based on linear OOA(3230, 1896, F3, 2, 49) (dual of [(1896, 2), 3562, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3230, 1897, F3, 2, 49) (dual of [(1897, 2), 3564, 50]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3230, 1897, F3, 49) (dual of [1897, 1667, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(3230, 2207, F3, 49) (dual of [2207, 1977, 50]-code), using
- construction X applied to C([0,24]) ⊂ C([0,22]) [i] based on
- 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(3211, 2188, F3, 45) (dual of [2188, 1977, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(35, 19, F3, 3) (dual of [19, 14, 4]-code or 19-cap in PG(4,3)), using
- construction X applied to C([0,24]) ⊂ C([0,22]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3230, 2207, F3, 49) (dual of [2207, 1977, 50]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3230, 1897, F3, 49) (dual of [1897, 1667, 50]-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.