Information on Result #1464207
Linear OOA(8174, 6596, F81, 2, 32) (dual of [(6596, 2), 13118, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8174, 6596, F81, 32) (dual of [6596, 6522, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(19) [i] based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8111, 35, F81, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,81)), using
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using
- Reed–Solomon code RS(70,81) [i]
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8174, 3298, F81, 3, 32) (dual of [(3298, 3), 9820, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8174, 3298, F81, 4, 32) (dual of [(3298, 4), 13118, 33]-NRT-code) | [i] | ||