Information on Result #670657
Linear OA(12870, 408, F128, 38) (dual of [408, 338, 39]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(12812, 129, F128, 12) (dual of [129, 117, 13]-code or 129-arc in PG(11,128)), using
- extended Reed–Solomon code RSe(117,128) [i]
- linear OA(12819, 129, F128, 19) (dual of [129, 110, 20]-code or 129-arc in PG(18,128)), using
- extended Reed–Solomon code RSe(110,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(12839, 150, F128, 38) (dual of [150, 111, 39]-code), using
- extended algebraic-geometric code AGe(F,111P) [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
None.