Information on Result #1721180
Digital (201, 239, 6494)-net over F4, using net defined by OOA based on linear OOA(4239, 6494, F4, 45, 38) (dual of [(6494, 45), 291991, 39]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4239, 45459, F4, 3, 38) (dual of [(45459, 3), 136138, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4239, 45460, F4, 3, 38) (dual of [(45460, 3), 136141, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4239, 45460, F4, 38) (dual of [45460, 45221, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4239, 65590, F4, 38) (dual of [65590, 65351, 39]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(413, 53, F4, 6) (dual of [53, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4239, 65590, F4, 38) (dual of [65590, 65351, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4239, 45460, F4, 38) (dual of [45460, 45221, 39]-code), using
- discarding factors / shortening the dual code based on linear OOA(4239, 45460, F4, 3, 38) (dual of [(45460, 3), 136141, 39]-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.