Information on Result #696702
Linear OA(3289, 1048628, F32, 20) (dual of [1048628, 1048539, 21]-code), using construction X applied to Ce(19) ⊂ Ce(9) based on
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3237, 1048576, F32, 10) (dual of [1048576, 1048539, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3212, 52, F32, 9) (dual of [52, 40, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 63, F32, 9) (dual of [63, 51, 10]-code), using
- algebraic-geometric code AG(F,53P) [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(3212, 63, F32, 9) (dual of [63, 51, 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 OOA(3289, 524314, F32, 2, 20) (dual of [(524314, 2), 1048539, 21]-NRT-code) | [i] | OOA Folding | |