Information on Result #696664
Linear OA(3284, 1048611, F32, 20) (dual of [1048611, 1048527, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) 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(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(327, 35, F32, 6) (dual of [35, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 43, F32, 6) (dual of [43, 36, 7]-code), using
- algebraic-geometric code AG(F,36P) [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(327, 43, F32, 6) (dual of [43, 36, 7]-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(3284, 524305, F32, 2, 20) (dual of [(524305, 2), 1048526, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3284, 104861, F32, 20, 20) (dual of [(104861, 20), 2097136, 21]-NRT-code) | [i] | OA Folding and Stacking | |