Information on Result #670809
Linear OA(12864, 2097453, F128, 17) (dual of [2097453, 2097389, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1286, 150, F128, 5) (dual of [150, 144, 6]-code), using
- extended algebraic-geometric code AGe(F,144P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- 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 (see above)
- linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.