Information on Result #670607
Linear OA(12867, 2097168, F128, 18) (dual of [2097168, 2097101, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(1283, 4, F128, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,128) or 4-cap in PG(2,128)), using
- dual of repetition code with length 4 [i]
- linear OA(1284, 4, F128, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,128)), using
- linear OA(1284, 4, F128, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,128)) (see above)
- linear OA(1284, 4, F128, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,128)) (see above)
- 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.