Information on Result #1715848
Digital (153, 181, 5639)-net over F3, using net defined by OOA based on linear OOA(3181, 5639, F3, 35, 28) (dual of [(5639, 35), 197184, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3181, 16918, F3, 5, 28) (dual of [(16918, 5), 84409, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 16920, F3, 5, 28) (dual of [(16920, 5), 84419, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3181, 16920, F3, 3, 28) (dual of [(16920, 3), 50579, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 19683, F3, 3, 28) (dual of [(19683, 3), 58868, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- OOA 3-folding [i] based on linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 19683, F3, 3, 28) (dual of [(19683, 3), 58868, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3181, 16920, F3, 3, 28) (dual of [(16920, 3), 50579, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 16920, F3, 5, 28) (dual of [(16920, 5), 84419, 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.