Information on Result #1566247
Linear OOA(8179, 6599, F81, 3, 34) (dual of [(6599, 3), 19718, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8179, 6599, F81, 34) (dual of [6599, 6520, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(20) [i] based on
- linear OA(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8112, 38, F81, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,81)), using
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
- Reed–Solomon code RS(69,81) [i]
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
Mode: 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.