Information on Result #1188162
Digital (48, 54, 4194301)-net over F5, using net defined by OOA based on linear OOA(554, 4194301, F5, 10, 6) (dual of [(4194301, 10), 41942956, 7]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(554, large, F5, 2, 6), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-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.