Information on Result #1213518
Digital (129, 141, 2822241)-net over F5, using (u, u+v)-construction based on
- digital (23, 29, 26041)-net over F5, using
- net defined by OOA [i] based on linear OOA(529, 26041, F5, 6, 6) (dual of [(26041, 6), 156217, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(529, 78123, F5, 6) (dual of [78123, 78094, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(529, 78123, F5, 6) (dual of [78123, 78094, 7]-code), using
- net defined by OOA [i] based on linear OOA(529, 26041, F5, 6, 6) (dual of [(26041, 6), 156217, 7]-NRT-code), using
- digital (100, 112, 2796200)-net over F5, using
- net defined by OOA [i] based on linear OOA(5112, 2796200, F5, 14, 12) (dual of [(2796200, 14), 39146688, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5112, 8388601, F5, 2, 12) (dual of [(8388601, 2), 16777090, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5112, 8388602, F5, 2, 12) (dual of [(8388602, 2), 16777092, 13]-NRT-code), using
- trace code [i] based on linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- trace code [i] based on linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5112, 8388602, F5, 2, 12) (dual of [(8388602, 2), 16777092, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5112, 8388601, F5, 2, 12) (dual of [(8388601, 2), 16777090, 13]-NRT-code), using
- net defined by OOA [i] based on linear OOA(5112, 2796200, F5, 14, 12) (dual of [(2796200, 14), 39146688, 13]-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.