Information on Result #1712686
Digital (52, 62, 20766)-net over F3, using net defined by OOA based on linear OOA(362, 20766, F3, 15, 10) (dual of [(20766, 15), 311428, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(362, 20767, F3, 5, 10) (dual of [(20767, 5), 103773, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(362, 20767, F3, 2, 10) (dual of [(20767, 2), 41472, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(362, 29530, F3, 2, 10) (dual of [(29530, 2), 58998, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(362, 59060, F3, 10) (dual of [59060, 58998, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(9) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(362, 59060, F3, 10) (dual of [59060, 58998, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(362, 29530, F3, 2, 10) (dual of [(29530, 2), 58998, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(362, 20767, F3, 2, 10) (dual of [(20767, 2), 41472, 11]-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.