Information on Result #697060
Linear OA(32110, 32823, F32, 33) (dual of [32823, 32713, 34]-code), using construction X applied to Ce(32) ⊂ Ce(18) based on
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(3216, 55, F32, 13) (dual of [55, 39, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 63, F32, 13) (dual of [63, 47, 14]-code), using
- algebraic-geometric code AG(F,49P) [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(3216, 63, F32, 13) (dual of [63, 47, 14]-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 OA(32109, 32822, F32, 32) (dual of [32822, 32713, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(32110, 16411, F32, 2, 33) (dual of [(16411, 2), 32712, 34]-NRT-code) | [i] | OOA Folding | |