Information on Result #1719732
Digital (165, 192, 26990)-net over F4, using net defined by OOA based on linear OOA(4192, 26990, F4, 33, 27) (dual of [(26990, 33), 890478, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4192, 134951, F4, 3, 27) (dual of [(134951, 3), 404661, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4192, 134952, F4, 3, 27) (dual of [(134952, 3), 404664, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 134952, F4, 27) (dual of [134952, 134760, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4192, 262200, F4, 27) (dual of [262200, 262008, 28]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4191, 262199, F4, 27) (dual of [262199, 262008, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(410, 55, F4, 5) (dual of [55, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4191, 262199, F4, 27) (dual of [262199, 262008, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4192, 262200, F4, 27) (dual of [262200, 262008, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 134952, F4, 27) (dual of [134952, 134760, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(4192, 134952, F4, 3, 27) (dual of [(134952, 3), 404664, 28]-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.