Information on Result #1812313
Digital (15, 29, 2963)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8129, 2963, F81, 2, 14) (dual of [(2963, 2), 5897, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 3284, F81, 2, 14) (dual of [(3284, 2), 6539, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 6568, F81, 14) (dual of [6568, 6539, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 6569, F81, 14) (dual of [6569, 6540, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8121, 6561, F81, 11) (dual of [6561, 6540, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(8129, 6569, F81, 14) (dual of [6569, 6540, 15]-code), using
- OOA 2-folding [i] based on linear OA(8129, 6568, F81, 14) (dual of [6568, 6539, 15]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.