Information on Result #1083156
Linear OOA(12865, 2097300, F128, 4, 15) (dual of [(2097300, 4), 8389135, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1288, 150, F128, 4, 7) (dual of [(150, 4), 592, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,592P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12857, 2097150, F128, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12857, 8388600, F128, 15) (dual of [8388600, 8388543, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- OOA 4-folding [i] based on linear OA(12857, 8388600, F128, 15) (dual of [8388600, 8388543, 16]-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(12866, 2097300, F128, 4, 15) (dual of [(2097300, 4), 8389134, 16]-NRT-code) | [i] | OOA Duplication | |