Information on Result #1733864
Digital (21, 29, 32769)-net over F16, using net defined by OOA based on linear OOA(1629, 32769, F16, 10, 8) (dual of [(32769, 10), 327661, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1629, 65539, F16, 2, 8) (dual of [(65539, 2), 131049, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 65540, F16, 2, 8) (dual of [(65540, 2), 131051, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1629, 65540, F16, 8) (dual of [65540, 65511, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(1629, 65536, F16, 8) (dual of [65536, 65507, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1625, 65536, F16, 7) (dual of [65536, 65511, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1629, 65540, F16, 8) (dual of [65540, 65511, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 65540, F16, 2, 8) (dual of [(65540, 2), 131051, 9]-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.