Information on Result #1579884
Linear OOA(3175, 802, F3, 4, 37) (dual of [(802, 4), 3033, 38]-NRT-code), using OOA 2-folding based on linear OOA(3175, 1604, F3, 2, 37) (dual of [(1604, 2), 3033, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 1605, F3, 2, 37) (dual of [(1605, 2), 3035, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3175, 1605, F3, 37) (dual of [1605, 1430, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3175, 2208, F3, 37) (dual of [2208, 2033, 38]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3174, 2207, F3, 37) (dual of [2207, 2033, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3155, 2188, F3, 33) (dual of [2188, 2033, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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([0,18]) ⊂ C([0,16]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3174, 2207, F3, 37) (dual of [2207, 2033, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3175, 2208, F3, 37) (dual of [2208, 2033, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3175, 1605, F3, 37) (dual of [1605, 1430, 38]-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.