Information on Result #1719702
Digital (147, 174, 9945)-net over F4, using net defined by OOA based on linear OOA(4174, 9945, F4, 33, 27) (dual of [(9945, 33), 328011, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4174, 49726, F4, 3, 27) (dual of [(49726, 3), 149004, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4174, 49726, F4, 27) (dual of [49726, 49552, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4174, 65589, F4, 27) (dual of [65589, 65415, 28]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4171, 65586, F4, 27) (dual of [65586, 65415, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(410, 50, F4, 5) (dual of [50, 40, 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
- 3 times code embedding in larger space [i] based on linear OA(4171, 65586, F4, 27) (dual of [65586, 65415, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4174, 65589, F4, 27) (dual of [65589, 65415, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4174, 49726, F4, 27) (dual of [49726, 49552, 28]-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.