Information on Result #671148
Linear OA(12843, 321, F128, 27) (dual of [321, 278, 28]-code), using (u, u+v)-construction based on
- linear OA(12813, 129, F128, 13) (dual of [129, 116, 14]-code or 129-arc in PG(12,128)), using
- extended Reed–Solomon code RSe(116,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(12830, 192, F128, 27) (dual of [192, 162, 28]-code), using
- extended algebraic-geometric code AGe(F,164P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
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(12843, 160, F128, 2, 27) (dual of [(160, 2), 277, 28]-NRT-code) | [i] | OOA Folding | |