Information on Result #1738684
Digital (42, 57, 79843)-net over F27, using net defined by OOA based on linear OOA(2757, 79843, F27, 18, 15) (dual of [(79843, 18), 1437117, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2757, 319373, F27, 2, 15) (dual of [(319373, 2), 638689, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2757, 319374, F27, 2, 15) (dual of [(319374, 2), 638691, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2757, 319374, F27, 15) (dual of [319374, 319317, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2757, 319374, F27, 15) (dual of [319374, 319317, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(2757, 319374, F27, 2, 15) (dual of [(319374, 2), 638691, 16]-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.