Information on Result #1712598
Digital (85, 94, 4194304)-net over F3, using net defined by OOA based on linear OOA(394, 4194304, F3, 12, 9) (dual of [(4194304, 12), 50331554, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(394, 4194305, F3, 4, 9) (dual of [(4194305, 4), 16777126, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(394, 4194305, F3, 2, 9) (dual of [(4194305, 2), 8388516, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,3) [i]
- linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(394, 4194305, F3, 2, 9) (dual of [(4194305, 2), 8388516, 10]-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.