Information on Result #1621417
Linear OOA(3118, 619, F3, 5, 25) (dual of [(619, 5), 2977, 26]-NRT-code), using OOA 2-folding based on linear OOA(3118, 1238, F3, 3, 25) (dual of [(1238, 3), 3596, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3118, 1239, F3, 3, 25) (dual of [(1239, 3), 3599, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3118, 1239, F3, 25) (dual of [1239, 1121, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3118, 2207, F3, 25) (dual of [2207, 2089, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3118, 2207, F3, 25) (dual of [2207, 2089, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3118, 1239, F3, 25) (dual of [1239, 1121, 26]-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.