Information on Result #697055
Linear OA(32109, 32819, F32, 33) (dual of [32819, 32710, 34]-code), using construction X applied to Ce(32) ⊂ Ce(19) 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(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3215, 51, F32, 12) (dual of [51, 36, 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 OA(32108, 32818, F32, 32) (dual of [32818, 32710, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(32109, 16409, F32, 2, 33) (dual of [(16409, 2), 32709, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(32109, 2051, F32, 33, 33) (dual of [(2051, 33), 67574, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |