Information on Result #697065
Linear OA(3294, 32822, F32, 27) (dual of [32822, 32728, 28]-code), using construction X applied to Ce(26) ⊂ Ce(13) based on
- linear OA(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3215, 54, F32, 12) (dual of [54, 39, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using
- algebraic-geometric code AG(F,50P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using
Mode: Constructive and 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(3294, 16411, F32, 2, 27) (dual of [(16411, 2), 32728, 28]-NRT-code) | [i] | OOA Folding | |