Information on Result #1749002
Digital (34, 68, 3867)-net over F256, using net defined by OOA based on linear OOA(25668, 3867, F256, 42, 34) (dual of [(3867, 42), 162346, 35]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25668, 11602, F256, 6, 34) (dual of [(11602, 6), 69544, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 11602, F256, 5, 34) (dual of [(11602, 5), 57942, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 13108, F256, 5, 34) (dual of [(13108, 5), 65472, 35]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25668, 65540, F256, 34) (dual of [65540, 65472, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(25668, 65541, F256, 34) (dual of [65541, 65473, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- linear OA(25667, 65536, F256, 34) (dual of [65536, 65469, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- discarding factors / shortening the dual code based on linear OA(25668, 65541, F256, 34) (dual of [65541, 65473, 35]-code), using
- OOA 5-folding [i] based on linear OA(25668, 65540, F256, 34) (dual of [65540, 65472, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 13108, F256, 5, 34) (dual of [(13108, 5), 65472, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 11602, F256, 5, 34) (dual of [(11602, 5), 57942, 35]-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.