Information on Result #1315106
Linear OA(3212, 110, F32, 7) (dual of [110, 98, 8]-code), using 14 step Varšamov–Edel lengthening with (ri) = (1, 13 times 0) based on linear OA(3211, 95, F32, 7) (dual of [95, 84, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3211, 94, F32, 7) (dual of [94, 83, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3210, 94, F32, 6) (dual of [94, 84, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(320, 1, F32, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3212, 110, F32, 2, 7) (dual of [(110, 2), 208, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (5, 12, 110)-net over F32 | [i] | ||