Information on Result #902406
Linear OOA(32107, 524336, F32, 2, 24) (dual of [(524336, 2), 1048565, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3213, 44, F32, 2, 12) (dual of [(44, 2), 75, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,75P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3294, 524292, F32, 2, 24) (dual of [(524292, 2), 1048490, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3294, 1048584, F32, 24) (dual of [1048584, 1048490, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3294, 1048585, F32, 24) (dual of [1048585, 1048491, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3285, 1048576, F32, 22) (dual of [1048576, 1048491, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3294, 1048585, F32, 24) (dual of [1048585, 1048491, 25]-code), using
- OOA 2-folding [i] based on linear OA(3294, 1048584, F32, 24) (dual of [1048584, 1048490, 25]-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(32107, 87389, F32, 26, 24) (dual of [(87389, 26), 2272007, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |