Information on Result #1716354
Digital (186, 217, 8669)-net over F3, using net defined by OOA based on linear OOA(3217, 8669, F3, 35, 31) (dual of [(8669, 35), 303198, 32]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3217, 26008, F3, 5, 31) (dual of [(26008, 5), 129823, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 26010, F3, 5, 31) (dual of [(26010, 5), 129833, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3217, 26010, F3, 2, 31) (dual of [(26010, 2), 51803, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 29557, F3, 2, 31) (dual of [(29557, 2), 58897, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 59114, F3, 31) (dual of [59114, 58897, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 59115, F3, 31) (dual of [59115, 58898, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 66, F3, 7) (dual of [66, 50, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3217, 59115, F3, 31) (dual of [59115, 58898, 32]-code), using
- OOA 2-folding [i] based on linear OA(3217, 59114, F3, 31) (dual of [59114, 58897, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 29557, F3, 2, 31) (dual of [(29557, 2), 58897, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3217, 26010, F3, 2, 31) (dual of [(26010, 2), 51803, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 26010, F3, 5, 31) (dual of [(26010, 5), 129833, 32]-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.