Information on Result #1083049
Linear OOA(12855, 2097429, F128, 4, 12) (dual of [(2097429, 4), 8389661, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12810, 279, F128, 4, 6) (dual of [(279, 4), 1106, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;513,128) [i]
- linear OOA(1287, 150, F128, 4, 6) (dual of [(150, 4), 593, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,593P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12845, 2097150, F128, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12845, 8388600, F128, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- OOA 4-folding [i] based on linear OA(12845, 8388600, F128, 12) (dual of [8388600, 8388555, 13]-code), using
Mode: Constructive and linear.
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 | Linear OOA(12876, 4194858, F128, 4, 12) (dual of [(4194858, 4), 16779356, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |