Information on Result #1734868
Digital (62, 84, 9163)-net over F16, using net defined by OOA based on linear OOA(1684, 9163, F16, 26, 22) (dual of [(9163, 26), 238154, 23]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(1684, 54979, F16, 2, 22) (dual of [(54979, 2), 109874, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1684, 54983, F16, 2, 22) (dual of [(54983, 2), 109882, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1684, 54983, F16, 22) (dual of [54983, 54899, 23]-code), using
- discarding factors / shortening the dual code 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 factors / shortening the dual code based on linear OA(1684, 65554, F16, 22) (dual of [65554, 65470, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1684, 54983, F16, 22) (dual of [54983, 54899, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(1684, 54983, F16, 2, 22) (dual of [(54983, 2), 109882, 23]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.