Information on Result #1712454
Digital (70, 78, 4194301)-net over F3, using net defined by OOA based on linear OOA(378, 4194301, F3, 12, 8) (dual of [(4194301, 12), 50331534, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(378, 4194302, F3, 4, 8) (dual of [(4194302, 4), 16777130, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(378, 4194302, F3, 2, 8) (dual of [(4194302, 2), 8388526, 9]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(376, 4194301, F3, 2, 8) (dual of [(4194301, 2), 8388526, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(376, 8388602, F3, 8) (dual of [8388602, 8388526, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OOA 2-folding [i] based on linear OA(376, 8388602, F3, 8) (dual of [8388602, 8388526, 9]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(376, 4194301, F3, 2, 8) (dual of [(4194301, 2), 8388526, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(378, 4194302, F3, 2, 8) (dual of [(4194302, 2), 8388526, 9]-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.