Information on Result #2524938
OOA(8113, 32777, S8, 2, 22), using 81 times duplication based on OOA(8112, 32777, S8, 2, 22), using
- OOA 2-folding [i] based on OA(8112, 65554, S8, 22), using
- discarding parts of the base [i] based on linear OA(1684, 65554, F16, 22) (dual of [65554, 65470, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(1681, 65536, F16, 22) (dual of [65536, 65455, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1665, 65536, F16, 18) (dual of [65536, 65471, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding parts of the base [i] based on linear OA(1684, 65554, F16, 22) (dual of [65554, 65470, 23]-code), using
Mode: Constructive.
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.