Information on Result #1780295
Digital (175, 205, 122408)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4205, 122408, F4, 2, 30) (dual of [(122408, 2), 244611, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4205, 131088, F4, 2, 30) (dual of [(131088, 2), 261971, 31]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4204, 131088, F4, 2, 30) (dual of [(131088, 2), 261972, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4204, 262176, F4, 30) (dual of [262176, 261972, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(25) [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(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(4204, 262176, F4, 30) (dual of [262176, 261972, 31]-code), using
- 41 times duplication [i] based on linear OOA(4204, 131088, F4, 2, 30) (dual of [(131088, 2), 261972, 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.