Information on Result #664573
Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-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(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.