Information on Result #1712872
Digital (66, 77, 29541)-net over F3, using net defined by OOA based on linear OOA(377, 29541, F3, 15, 11) (dual of [(29541, 15), 443038, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(377, 29542, F3, 5, 11) (dual of [(29542, 5), 147633, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(377, 29542, F3, 2, 11) (dual of [(29542, 2), 59007, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(377, 59084, F3, 11) (dual of [59084, 59007, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(377, 59085, F3, 11) (dual of [59085, 59008, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(371, 59049, F3, 11) (dual of [59049, 58978, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(377, 59085, F3, 11) (dual of [59085, 59008, 12]-code), using
- OOA 2-folding [i] based on linear OA(377, 59084, F3, 11) (dual of [59084, 59007, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(377, 29542, F3, 2, 11) (dual of [(29542, 2), 59007, 12]-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.