Information on Result #672130
Linear OA(12850, 2097410, F128, 14) (dual of [2097410, 2097360, 15]-code), using (u, u+v)-construction based on
- linear OA(12810, 258, F128, 7) (dual of [258, 248, 8]-code), using
- (u, u+v)-construction [i] based on
- 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(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
- (u, u+v)-construction [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(12850, 299630, F128, 14, 14) (dual of [(299630, 14), 4194770, 15]-NRT-code) | [i] | OA Folding and Stacking | |