Information on Result #1719116
Digital (185, 208, 1048575)-net over F4, using net defined by OOA based on linear OOA(4208, 1048575, F4, 27, 23) (dual of [(1048575, 27), 28311317, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4208, 4194301, F4, 3, 23) (dual of [(4194301, 3), 12582695, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4208, 4194302, F4, 3, 23) (dual of [(4194302, 3), 12582698, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4208, 4194302, F4, 2, 23) (dual of [(4194302, 2), 8388396, 24]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4207, 4194302, F4, 2, 23) (dual of [(4194302, 2), 8388397, 24]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4205, 4194301, F4, 2, 23) (dual of [(4194301, 2), 8388397, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4205, 8388602, F4, 23) (dual of [8388602, 8388397, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- OOA 2-folding [i] based on linear OA(4205, 8388602, F4, 23) (dual of [8388602, 8388397, 24]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4205, 4194301, F4, 2, 23) (dual of [(4194301, 2), 8388397, 24]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4207, 4194302, F4, 2, 23) (dual of [(4194302, 2), 8388397, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4208, 4194302, F4, 2, 23) (dual of [(4194302, 2), 8388396, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4208, 4194302, F4, 3, 23) (dual of [(4194302, 3), 12582698, 24]-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.