Information on Result #1722234
Digital (58, 70, 37647)-net over F5, using net defined by OOA based on linear OOA(570, 37647, F5, 15, 12) (dual of [(37647, 15), 564635, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(570, 75295, F5, 3, 12) (dual of [(75295, 3), 225815, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(570, 75296, F5, 3, 12) (dual of [(75296, 3), 225818, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(570, 75296, F5, 12) (dual of [75296, 75226, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(570, 78132, F5, 12) (dual of [78132, 78062, 13]-code), using
- (u, u+v)-construction [i] based on
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(570, 78132, F5, 12) (dual of [78132, 78062, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(570, 75296, F5, 12) (dual of [75296, 75226, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(570, 75296, F5, 3, 12) (dual of [(75296, 3), 225818, 13]-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.