Information on Result #1605349
Linear OOA(3154, 2667506, F3, 4, 16) (dual of [(2667506, 4), 10669870, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3154, 2667506, F3, 3, 16) (dual of [(2667506, 3), 8002364, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3154, 2796202, F3, 3, 16) (dual of [(2796202, 3), 8388452, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3154, 1333752, F3, 20, 16) (dual of [(1333752, 20), 26674886, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |