Information on Result #697009
Linear OA(32104, 32805, F32, 33) (dual of [32805, 32701, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) 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(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3210, 37, F32, 9) (dual of [37, 27, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 43, F32, 9) (dual of [43, 33, 10]-code), using
- algebraic-geometric code AG(F,33P) [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(3210, 43, F32, 9) (dual of [43, 33, 10]-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(32103, 32804, F32, 32) (dual of [32804, 32701, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(32104, 32805, F32, 2, 33) (dual of [(32805, 2), 65506, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (71, 104, 32805)-net over F32 | [i] | ||
| 4 | Linear OOA(32104, 16402, F32, 2, 33) (dual of [(16402, 2), 32700, 34]-NRT-code) | [i] | OOA Folding | |