Information on Result #697066
Linear OA(3291, 32822, F32, 26) (dual of [32822, 32731, 27]-code), using construction X applied to Ce(25) ⊂ Ce(12) based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3237, 32768, F32, 13) (dual of [32768, 32731, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3291, 16411, F32, 2, 26) (dual of [(16411, 2), 32731, 27]-NRT-code) | [i] | OOA Folding | |