Information on Result #1780130
Digital (173, 203, 110460)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4203, 110460, F4, 2, 30) (dual of [(110460, 2), 220717, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4203, 131083, F4, 2, 30) (dual of [(131083, 2), 261963, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4203, 262166, F4, 30) (dual of [262166, 261963, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4202, 262165, F4, 30) (dual of [262165, 261963, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(26) [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(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4202, 262165, F4, 30) (dual of [262165, 261963, 31]-code), using
- OOA 2-folding [i] based on linear OA(4203, 262166, F4, 30) (dual of [262166, 261963, 31]-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.