Information on Result #1712700
Digital (59, 69, 62312)-net over F3, using net defined by OOA based on linear OOA(369, 62312, F3, 15, 10) (dual of [(62312, 15), 934611, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(369, 62313, F3, 5, 10) (dual of [(62313, 5), 311496, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(369, 62313, F3, 2, 10) (dual of [(62313, 2), 124557, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(369, 88580, F3, 2, 10) (dual of [(88580, 2), 177091, 11]-NRT-code), using
- 31 times duplication [i] based on linear OOA(368, 88580, F3, 2, 10) (dual of [(88580, 2), 177092, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(368, 177160, F3, 10) (dual of [177160, 177092, 11]-code), using
- construction X4 applied to Ce(9) ⊂ Ce(7) [i] based on
- 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(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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 X4 applied to Ce(9) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(368, 177160, F3, 10) (dual of [177160, 177092, 11]-code), using
- 31 times duplication [i] based on linear OOA(368, 88580, F3, 2, 10) (dual of [(88580, 2), 177092, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(369, 88580, F3, 2, 10) (dual of [(88580, 2), 177091, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(369, 62313, F3, 2, 10) (dual of [(62313, 2), 124557, 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.