Information on Result #1765519
Digital (144, 168, 25624)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3168, 25624, F3, 2, 24) (dual of [(25624, 2), 51080, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 29543, F3, 2, 24) (dual of [(29543, 2), 58918, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3168, 59086, F3, 24) (dual of [59086, 58918, 25]-code), using
- 1 times truncation [i] based on linear OA(3169, 59087, F3, 25) (dual of [59087, 58918, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [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(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(38, 38, F3, 4) (dual of [38, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(3169, 59087, F3, 25) (dual of [59087, 58918, 26]-code), using
- OOA 2-folding [i] based on linear OA(3168, 59086, F3, 24) (dual of [59086, 58918, 25]-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.