Information on Result #1413859
Linear OOA(3187, 6596652, F3, 2, 16) (dual of [(6596652, 2), 13193117, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3187, 6596652, F3, 16) (dual of [6596652, 6596465, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3187, large, F3, 16) (dual of [large, large−187, 17]-code), using
- 36 times code embedding in larger space [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]
- 36 times code embedding in larger space [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-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(3187, 3298326, F3, 3, 16) (dual of [(3298326, 3), 9894791, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3187, 3298326, F3, 4, 16) (dual of [(3298326, 4), 13193117, 17]-NRT-code) | [i] | ||