Information on Result #991550
Linear OOA(8159, 2215, F81, 3, 24) (dual of [(2215, 3), 6586, 25]-NRT-code), using OOA 3-folding based on linear OA(8159, 6645, F81, 24) (dual of [6645, 6586, 25]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8112, 82, F81, 12) (dual of [82, 70, 13]-code or 82-arc in PG(11,81)), using
- extended Reed–Solomon code RSe(70,81) [i]
- linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(8112, 82, F81, 12) (dual of [82, 70, 13]-code or 82-arc in PG(11,81)), using
Mode: Constructive and 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.