Information on Result #669679
Linear OA(6453, 242, F64, 31) (dual of [242, 189, 32]-code), using (u, u+v)-construction based on
- linear OA(6415, 65, F64, 15) (dual of [65, 50, 16]-code or 65-arc in PG(14,64)), using
- extended Reed–Solomon code RSe(50,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(6438, 177, F64, 31) (dual of [177, 139, 32]-code), using
- extended algebraic-geometric code AGe(F,145P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, 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(6453, 121, F64, 2, 31) (dual of [(121, 2), 189, 32]-NRT-code) | [i] | OOA Folding | |