Information on Result #697016
Linear OA(3291, 32804, F32, 28) (dual of [32804, 32713, 29]-code), using construction X applied to Ce(27) ⊂ Ce(18) based on
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3255, 32768, F32, 19) (dual of [32768, 32713, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(329, 36, F32, 8) (dual of [36, 27, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(329, 43, F32, 8) (dual of [43, 34, 9]-code), using
- algebraic-geometric code AG(F,34P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(329, 43, F32, 8) (dual of [43, 34, 9]-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, 16402, F32, 2, 28) (dual of [(16402, 2), 32713, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3291, 2343, F32, 28, 28) (dual of [(2343, 28), 65513, 29]-NRT-code) | [i] | OA Folding and Stacking | |