Information on Result #1712900
Digital (80, 91, 265740)-net over F3, using net defined by OOA based on linear OOA(391, 265740, F3, 15, 11) (dual of [(265740, 15), 3986009, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(391, 265741, F3, 5, 11) (dual of [(265741, 5), 1328614, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(391, 265741, F3, 2, 11) (dual of [(265741, 2), 531391, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(391, 531482, F3, 11) (dual of [531482, 531391, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(391, 531483, F3, 11) (dual of [531483, 531392, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(385, 531441, F3, 11) (dual of [531441, 531356, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-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(391, 531483, F3, 11) (dual of [531483, 531392, 12]-code), using
- OOA 2-folding [i] based on linear OA(391, 531482, F3, 11) (dual of [531482, 531391, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(391, 265741, F3, 2, 11) (dual of [(265741, 2), 531391, 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.