Information on Result #1836680
OOA(981, 5602245, S9, 3, 9), using (u, u+v)-construction based on
- OOA(915, 9843, S9, 3, 4), using
- OA 2-folding and stacking [i] based on OA(915, 19686, S9, 4), using
- discarding parts of the base [i] based on linear OA(2710, 19686, F27, 4) (dual of [19686, 19676, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2710, 19683, F27, 4) (dual of [19683, 19673, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(277, 19683, F27, 3) (dual of [19683, 19676, 4]-code or 19683-cap in PG(6,27)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding parts of the base [i] based on linear OA(2710, 19686, F27, 4) (dual of [19686, 19676, 5]-code), using
- OA 2-folding and stacking [i] based on OA(915, 19686, S9, 4), using
- linear OOA(966, 5592402, F9, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
Mode: Constructive.
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.