Information on Result #1778425
Digital (157, 180, 524313)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4180, 524313, F4, 2, 23) (dual of [(524313, 2), 1048446, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4180, 1048626, F4, 23) (dual of [1048626, 1048446, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, 1048627, F4, 23) (dual of [1048627, 1048447, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- 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(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4180, 1048627, F4, 23) (dual of [1048627, 1048447, 24]-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.