Information on Result #1778492
Digital (157, 181, 391920)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4181, 391920, F4, 2, 24) (dual of [(391920, 2), 783659, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4181, 524293, F4, 2, 24) (dual of [(524293, 2), 1048405, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4181, 1048586, F4, 24) (dual of [1048586, 1048405, 25]-code), using
- 1 times truncation [i] based on linear OA(4182, 1048587, F4, 25) (dual of [1048587, 1048405, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(4182, 1048587, F4, 25) (dual of [1048587, 1048405, 26]-code), using
- OOA 2-folding [i] based on linear OA(4181, 1048586, F4, 24) (dual of [1048586, 1048405, 25]-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.