Information on Result #1720196
Digital (177, 207, 26218)-net over F4, using net defined by OOA based on linear OOA(4207, 26218, F4, 33, 30) (dual of [(26218, 33), 864987, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4207, 131091, F4, 3, 30) (dual of [(131091, 3), 393066, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4207, 131094, F4, 3, 30) (dual of [(131094, 3), 393075, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4207, 131094, F4, 2, 30) (dual of [(131094, 2), 261981, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using
- OOA 2-folding [i] based on linear OA(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4207, 131094, F4, 2, 30) (dual of [(131094, 2), 261981, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4207, 131094, F4, 3, 30) (dual of [(131094, 3), 393075, 31]-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.