Information on Result #899786
Linear OOA(25106, 4194619, F25, 2, 18) (dual of [(4194619, 2), 8389132, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2520, 318, F25, 2, 9) (dual of [(318, 2), 616, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2520, 636, F25, 9) (dual of [636, 616, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2520, 637, F25, 9) (dual of [637, 617, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- linear OA(2517, 626, F25, 9) (dual of [626, 609, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(259, 626, F25, 5) (dual of [626, 617, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(253, 11, F25, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,25) or 11-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2520, 637, F25, 9) (dual of [637, 617, 10]-code), using
- OOA 2-folding [i] based on linear OA(2520, 636, F25, 9) (dual of [636, 616, 10]-code), using
- linear OOA(2586, 4194301, F25, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.