Information on Result #1082586
Linear OOA(8172, 2099339, F81, 4, 15) (dual of [(2099339, 4), 8397284, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 2189, F81, 4, 7) (dual of [(2189, 4), 8741, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(8115, 6568, F81, 7) (dual of [6568, 6553, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 6569, F81, 7) (dual of [6569, 6554, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(817, 6561, F81, 4) (dual of [6561, 6554, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(812, 8, F81, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(8115, 6569, F81, 7) (dual of [6569, 6554, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(8115, 6568, F81, 7) (dual of [6568, 6553, 8]-code), using
- linear OOA(8157, 2097150, F81, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-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.