Information on Result #1718504
Digital (122, 141, 128433)-net over F4, using net defined by OOA based on linear OOA(4141, 128433, F4, 21, 19) (dual of [(128433, 21), 2696952, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4141, 385300, F4, 3, 19) (dual of [(385300, 3), 1155759, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4141, 385301, F4, 3, 19) (dual of [(385301, 3), 1155762, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4141, 385301, F4, 2, 19) (dual of [(385301, 2), 770461, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4141, 524293, F4, 2, 19) (dual of [(524293, 2), 1048445, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(4141, 524293, F4, 2, 19) (dual of [(524293, 2), 1048445, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4141, 385301, F4, 2, 19) (dual of [(385301, 2), 770461, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4141, 385301, F4, 3, 19) (dual of [(385301, 3), 1155762, 20]-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.