Information on Result #1716454
Digital (178, 210, 3166)-net over F3, using net defined by OOA based on linear OOA(3210, 3166, F3, 36, 32) (dual of [(3166, 36), 113766, 33]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3210, 12665, F3, 4, 32) (dual of [(12665, 4), 50450, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3210, 12668, F3, 4, 32) (dual of [(12668, 4), 50462, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3210, 12668, F3, 32) (dual of [12668, 12458, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 19748, F3, 32) (dual of [19748, 19538, 33]-code), using
- 5 times code embedding in larger space [i] based on linear OA(3205, 19743, F3, 32) (dual of [19743, 19538, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(3205, 19743, F3, 32) (dual of [19743, 19538, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 19748, F3, 32) (dual of [19748, 19538, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3210, 12668, F3, 32) (dual of [12668, 12458, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(3210, 12668, F3, 4, 32) (dual of [(12668, 4), 50462, 33]-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.