Information on Result #1734534
Digital (51, 69, 11882)-net over F16, using net defined by OOA based on linear OOA(1669, 11882, F16, 22, 18) (dual of [(11882, 22), 261335, 19]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1669, 59411, F16, 2, 18) (dual of [(59411, 2), 118753, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1669, 59415, F16, 2, 18) (dual of [(59415, 2), 118761, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1669, 59415, F16, 18) (dual of [59415, 59346, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1669, 65553, F16, 18) (dual of [65553, 65484, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- 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(1649, 65536, F16, 13) (dual of [65536, 65487, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(1669, 65553, F16, 18) (dual of [65553, 65484, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1669, 59415, F16, 18) (dual of [59415, 59346, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(1669, 59415, F16, 2, 18) (dual of [(59415, 2), 118761, 19]-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.