Information on Result #1583396
Linear OOA(8174, 1797, F81, 4, 34) (dual of [(1797, 4), 7114, 35]-NRT-code), using OOA 2-folding based on linear OOA(8174, 3594, F81, 2, 34) (dual of [(3594, 2), 7114, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8174, 3595, F81, 2, 34) (dual of [(3595, 2), 7116, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8174, 3595, F81, 34) (dual of [3595, 3521, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8174, 6584, F81, 34) (dual of [6584, 6510, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [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(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(8174, 6584, F81, 34) (dual of [6584, 6510, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8174, 3595, F81, 34) (dual of [3595, 3521, 35]-code), 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.