Information on Result #1713028
Digital (78, 90, 44292)-net over F3, using net defined by OOA based on linear OOA(390, 44292, F3, 15, 12) (dual of [(44292, 15), 664290, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(390, 88585, F3, 3, 12) (dual of [(88585, 3), 265665, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(390, 88585, F3, 2, 12) (dual of [(88585, 2), 177080, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 177170, F3, 12) (dual of [177170, 177080, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 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(12) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(390, 177170, F3, 12) (dual of [177170, 177080, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(390, 88585, F3, 2, 12) (dual of [(88585, 2), 177080, 13]-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.