Information on Result #664567
Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code), using generalized (u, u+v)-construction based on
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
- linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)), using
- linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)) (see above)
- linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)) (see above)
- linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)) (see above)
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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.