Information on Result #1720106
Digital (230, 259, 628536)-net over F4, using net defined by OOA based on linear OOA(4259, 628536, F4, 33, 29) (dual of [(628536, 33), 20741429, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4259, 3142681, F4, 3, 29) (dual of [(3142681, 3), 9427784, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4259, 3142682, F4, 3, 29) (dual of [(3142682, 3), 9427787, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4259, 3142682, F4, 2, 29) (dual of [(3142682, 2), 6285105, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4259, 4194304, F4, 2, 29) (dual of [(4194304, 2), 8388349, 30]-NRT-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4259, 4194304, F4, 2, 29) (dual of [(4194304, 2), 8388349, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4259, 3142682, F4, 2, 29) (dual of [(3142682, 2), 6285105, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4259, 3142682, F4, 3, 29) (dual of [(3142682, 3), 9427787, 30]-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.