Information on Result #1720572
Digital (160, 193, 4552)-net over F4, using net defined by OOA based on linear OOA(4193, 4552, F4, 39, 33) (dual of [(4552, 39), 177335, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4193, 27313, F4, 3, 33) (dual of [(27313, 3), 81746, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 27315, F4, 3, 33) (dual of [(27315, 3), 81752, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4193, 27315, F4, 2, 33) (dual of [(27315, 2), 54437, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 32768, F4, 2, 33) (dual of [(32768, 2), 65343, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- OOA 2-folding [i] based on linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 32768, F4, 2, 33) (dual of [(32768, 2), 65343, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4193, 27315, F4, 2, 33) (dual of [(27315, 2), 54437, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 27315, F4, 3, 33) (dual of [(27315, 3), 81752, 34]-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.