Information on Result #671358
Linear OA(12841, 16772, F128, 15) (dual of [16772, 16731, 16]-code), using (u, u+v)-construction based on
- linear OA(12812, 387, F128, 7) (dual of [387, 375, 8]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(1282, 129, F128, 2) (dual of [129, 127, 3]-code or 129-arc in PG(1,128)), using
- extended Reed–Solomon code RSe(127,128) [i]
- Hamming code H(2,128) [i]
- linear OA(1283, 129, F128, 3) (dual of [129, 126, 4]-code or 129-arc in PG(2,128) or 129-cap in PG(2,128)), using
- extended Reed–Solomon code RSe(126,128) [i]
- linear OA(1287, 129, F128, 7) (dual of [129, 122, 8]-code or 129-arc in PG(6,128)), using
- extended Reed–Solomon code RSe(122,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1282, 129, F128, 2) (dual of [129, 127, 3]-code or 129-arc in PG(1,128)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
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(12841, 8386, F128, 2, 15) (dual of [(8386, 2), 16731, 16]-NRT-code) | [i] | OOA Folding | |