Information on Result #1713072
Digital (112, 124, 2097151)-net over F3, using net defined by OOA based on linear OOA(3124, 2097151, F3, 15, 12) (dual of [(2097151, 15), 31457141, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3124, 4194303, F3, 3, 12) (dual of [(4194303, 3), 12582785, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3124, 4194303, F3, 2, 12) (dual of [(4194303, 2), 8388482, 13]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3120, 4194301, F3, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3120, 8388602, F3, 12) (dual of [8388602, 8388482, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- OOA 2-folding [i] based on linear OA(3120, 8388602, F3, 12) (dual of [8388602, 8388482, 13]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3120, 4194301, F3, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3124, 4194303, F3, 2, 12) (dual of [(4194303, 2), 8388482, 13]-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.