Information on Result #1716096
Digital (221, 250, 126963)-net over F3, using net defined by OOA based on linear OOA(3250, 126963, F3, 35, 29) (dual of [(126963, 35), 4443455, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3250, 380890, F3, 5, 29) (dual of [(380890, 5), 1904200, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3250, 380890, F3, 4, 29) (dual of [(380890, 4), 1523310, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 398584, F3, 4, 29) (dual of [(398584, 4), 1594086, 30]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3248, 398584, F3, 4, 29) (dual of [(398584, 4), 1594088, 30]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3248, 1594336, F3, 29) (dual of [1594336, 1594088, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(3248, 1594323, F3, 29) (dual of [1594323, 1594075, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- OOA 4-folding [i] based on linear OA(3248, 1594336, F3, 29) (dual of [1594336, 1594088, 30]-code), using
- 32 times duplication [i] based on linear OOA(3248, 398584, F3, 4, 29) (dual of [(398584, 4), 1594088, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 398584, F3, 4, 29) (dual of [(398584, 4), 1594086, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3250, 380890, F3, 4, 29) (dual of [(380890, 4), 1523310, 30]-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.