Information on Result #670798
Linear OA(12868, 2097431, F128, 18) (dual of [2097431, 2097363, 19]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1286, 129, F128, 6) (dual of [129, 123, 7]-code or 129-arc in PG(5,128)), using
- extended Reed–Solomon code RSe(123,128) [i]
- linear OA(12810, 150, F128, 9) (dual of [150, 140, 10]-code), using
- extended algebraic-geometric code AGe(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.