Information on Result #1604723
Linear OOA(3143, 3204865, F3, 4, 14) (dual of [(3204865, 4), 12819317, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3143, 3204865, F3, 2, 14) (dual of [(3204865, 2), 6409587, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3143, 4194305, F3, 2, 14) (dual of [(4194305, 2), 8388467, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(37, 4, F3, 2, 7) (dual of [(4, 2), 1, 8]-NRT-code), using
- dual of repetition NRT-code with length 4 [i]
- linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
- linear OOA(37, 4, F3, 2, 7) (dual of [(4, 2), 1, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3143, 1602432, F3, 20, 14) (dual of [(1602432, 20), 32048497, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |