Information on Result #670722
Linear OA(12871, 16685, F128, 25) (dual of [16685, 16614, 26]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1289, 150, F128, 8) (dual of [150, 141, 9]-code), using
- extended algebraic-geometric code AGe(F,141P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12813, 150, F128, 12) (dual of [150, 137, 13]-code), using
- extended algebraic-geometric code AGe(F,137P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.