Information on Result #697052
Linear OA(3281, 32812, F32, 24) (dual of [32812, 32731, 25]-code), using construction X applied to Ce(23) ⊂ Ce(12) based on
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(3211, 44, F32, 10) (dual of [44, 33, 11]-code), using
- extended algebraic-geometric code AGe(F,33P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, 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(3282, 32813, F32, 24) (dual of [32813, 32731, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3281, 16406, F32, 2, 24) (dual of [(16406, 2), 32731, 25]-NRT-code) | [i] | OOA Folding | |