Information on Result #1222865
Digital (71, 96, 1762)-net over F27, using (u, u+v)-construction based on
- digital (11, 23, 122)-net over F27, using
- net defined by OOA [i] based on linear OOA(2723, 122, F27, 12, 12) (dual of [(122, 12), 1441, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(2723, 732, F27, 12) (dual of [732, 709, 13]-code), using
- construction XX applied to C1 = C([727,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([727,10]) [i] based on
- linear OA(2721, 728, F27, 11) (dual of [728, 707, 12]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2721, 728, F27, 11) (dual of [728, 707, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2723, 728, F27, 12) (dual of [728, 705, 13]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2719, 728, F27, 10) (dual of [728, 709, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([727,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([727,10]) [i] based on
- OA 6-folding and stacking [i] based on linear OA(2723, 732, F27, 12) (dual of [732, 709, 13]-code), using
- net defined by OOA [i] based on linear OOA(2723, 122, F27, 12, 12) (dual of [(122, 12), 1441, 13]-NRT-code), using
- digital (48, 73, 1640)-net over F27, using
- net defined by OOA [i] based on linear OOA(2773, 1640, F27, 25, 25) (dual of [(1640, 25), 40927, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2773, 19681, F27, 25) (dual of [19681, 19608, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2773, 19681, F27, 25) (dual of [19681, 19608, 26]-code), using
- net defined by OOA [i] based on linear OOA(2773, 1640, F27, 25, 25) (dual of [(1640, 25), 40927, 26]-NRT-code), using
Mode: Constructive and 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.