Information on Result #697704
Linear OA(3276, 1061, F32, 33) (dual of [1061, 985, 34]-code), using construction X applied to Ce(32) ⊂ Ce(19) based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3213, 37, F32, 12) (dual of [37, 24, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), using
- algebraic-geometric code AG(F,30P) [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(3213, 43, F32, 12) (dual of [43, 30, 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 OOA(3276, 530, F32, 2, 33) (dual of [(530, 2), 984, 34]-NRT-code) | [i] | OOA Folding | |