Information on Result #1716190
Digital (180, 210, 8618)-net over F3, using net defined by OOA based on linear OOA(3210, 8618, F3, 35, 30) (dual of [(8618, 35), 301420, 31]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3210, 25855, F3, 5, 30) (dual of [(25855, 5), 129065, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3210, 25855, F3, 2, 30) (dual of [(25855, 2), 51500, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3210, 29549, F3, 2, 30) (dual of [(29549, 2), 58888, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 59098, F3, 30) (dual of [59098, 58888, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 59099, F3, 30) (dual of [59099, 58889, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 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(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([0,15]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 59099, F3, 30) (dual of [59099, 58889, 31]-code), using
- OOA 2-folding [i] based on linear OA(3210, 59098, F3, 30) (dual of [59098, 58888, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(3210, 29549, F3, 2, 30) (dual of [(29549, 2), 58888, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3210, 25855, F3, 2, 30) (dual of [(25855, 2), 51500, 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.