Information on Result #1765255
Digital (140, 164, 20782)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3164, 20782, F3, 2, 24) (dual of [(20782, 2), 41400, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 29536, F3, 2, 24) (dual of [(29536, 2), 58908, 25]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3162, 29535, F3, 2, 24) (dual of [(29535, 2), 58908, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3162, 59070, F3, 24) (dual of [59070, 58908, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 21, F3, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3162, 59070, F3, 24) (dual of [59070, 58908, 25]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3162, 29535, F3, 2, 24) (dual of [(29535, 2), 58908, 25]-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.