Information on Result #1613211
Linear OOA(8115, 2982, F81, 4, 8) (dual of [(2982, 4), 11913, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8115, 2982, F81, 2, 8) (dual of [(2982, 2), 5949, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8115, 3281, F81, 2, 8) (dual of [(3281, 2), 6547, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8115, 6562, F81, 8) (dual of [6562, 6547, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code), using
- OOA 2-folding [i] based on linear OA(8115, 6562, F81, 8) (dual of [6562, 6547, 9]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8115, 2981, F81, 12, 8) (dual of [(2981, 12), 35757, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |