Information on Result #1719070
Digital (150, 173, 97211)-net over F4, using net defined by OOA based on linear OOA(4173, 97211, F4, 27, 23) (dual of [(97211, 27), 2624524, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4173, 388845, F4, 3, 23) (dual of [(388845, 3), 1166362, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 388848, F4, 3, 23) (dual of [(388848, 3), 1166371, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4173, 388848, F4, 2, 23) (dual of [(388848, 2), 777523, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 524299, F4, 2, 23) (dual of [(524299, 2), 1048425, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4173, 1048598, F4, 23) (dual of [1048598, 1048425, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4172, 1048597, F4, 23) (dual of [1048597, 1048425, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [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(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(41, 21, F4, 1) (dual of [21, 20, 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(22) ⊂ Ce(20) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4172, 1048597, F4, 23) (dual of [1048597, 1048425, 24]-code), using
- OOA 2-folding [i] based on linear OA(4173, 1048598, F4, 23) (dual of [1048598, 1048425, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 524299, F4, 2, 23) (dual of [(524299, 2), 1048425, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4173, 388848, F4, 2, 23) (dual of [(388848, 2), 777523, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 388848, F4, 3, 23) (dual of [(388848, 3), 1166371, 24]-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.