Information on Result #669473
Linear OA(6481, 4242, F64, 29) (dual of [4242, 4161, 30]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- extended Reed–Solomon code RSe(56,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(6415, 80, F64, 14) (dual of [80, 65, 15]-code), using
- extended algebraic-geometric code AGe(F,65P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6457, 4097, F64, 29) (dual of [4097, 4040, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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
None.