Information on Result #696705
Linear OA(32102, 1048633, F32, 23) (dual of [1048633, 1048531, 24]-code), using construction X applied to Ce(22) ⊂ Ce(11) based on
- linear OA(3289, 1048576, F32, 23) (dual of [1048576, 1048487, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3213, 57, F32, 10) (dual of [57, 44, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code), using
- algebraic-geometric code AG(F,52P) [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(3213, 63, F32, 10) (dual of [63, 50, 11]-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(32102, 524316, F32, 2, 23) (dual of [(524316, 2), 1048530, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(32102, 95330, F32, 23, 23) (dual of [(95330, 23), 2192488, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |