Information on Result #1715250
Digital (146, 170, 9484)-net over F3, using net defined by OOA based on linear OOA(3170, 9484, F3, 28, 24) (dual of [(9484, 28), 265382, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3170, 28453, F3, 4, 24) (dual of [(28453, 4), 113642, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3170, 28453, F3, 2, 24) (dual of [(28453, 2), 56736, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3170, 29549, F3, 2, 24) (dual of [(29549, 2), 58928, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3170, 59098, F3, 24) (dual of [59098, 58928, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 59099, F3, 24) (dual of [59099, 58929, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3161, 59050, F3, 25) (dual of [59050, 58889, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3121, 59050, F3, 19) (dual of [59050, 58929, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(39, 49, F3, 4) (dual of [49, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3170, 59099, F3, 24) (dual of [59099, 58929, 25]-code), using
- OOA 2-folding [i] based on linear OA(3170, 59098, F3, 24) (dual of [59098, 58928, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(3170, 29549, F3, 2, 24) (dual of [(29549, 2), 58928, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3170, 28453, F3, 2, 24) (dual of [(28453, 2), 56736, 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.