Information on Result #670790
Linear OA(12834, 408, F128, 18) (dual of [408, 374, 19]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1286, 129, F128, 6) (dual of [129, 123, 7]-code or 129-arc in PG(5,128)), using
- extended Reed–Solomon code RSe(123,128) [i]
- linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using
- extended Reed–Solomon code RSe(120,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(12819, 150, F128, 18) (dual of [150, 131, 19]-code), using
- extended algebraic-geometric code AGe(F,131P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, 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(12834, 204, F128, 2, 18) (dual of [(204, 2), 374, 19]-NRT-code) | [i] | OOA Folding | |