Information on Result #1715822
Digital (136, 164, 2187)-net over F3, using net defined by OOA based on linear OOA(3164, 2187, F3, 35, 28) (dual of [(2187, 35), 76381, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3164, 6562, F3, 5, 28) (dual of [(6562, 5), 32646, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 6564, F3, 5, 28) (dual of [(6564, 5), 32656, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3164, 6564, F3, 3, 28) (dual of [(6564, 3), 19528, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3164, 19692, F3, 28) (dual of [19692, 19528, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3164, 19693, F3, 28) (dual of [19693, 19529, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 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(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3164, 19693, F3, 28) (dual of [19693, 19529, 29]-code), using
- OOA 3-folding [i] based on linear OA(3164, 19692, F3, 28) (dual of [19692, 19528, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3164, 6564, F3, 3, 28) (dual of [(6564, 3), 19528, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 6564, F3, 5, 28) (dual of [(6564, 5), 32656, 29]-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.