Information on Result #1832545
OOA(12873, 4194451, S128, 2, 19), using (u, u+v)-construction based on
- linear OOA(12810, 150, F128, 2, 9) (dual of [(150, 2), 290, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,290P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- OOA(12863, 4194301, S128, 2, 19), using
- OOA 2-folding [i] based on OA(12863, 8388602, S128, 19), using
- discarding factors based on OA(12863, large, S128, 19), using
- discarding parts of the base [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding parts of the base [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- discarding factors based on OA(12863, large, S128, 19), using
- OOA 2-folding [i] based on OA(12863, 8388602, S128, 19), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12873, 2097225, S128, 4, 19) | [i] | OOA Folding | |