Information on Result #1521529
Linear OOA(390, 3003, F3, 3, 17) (dual of [(3003, 3), 8919, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(390, 3003, F3, 2, 17) (dual of [(3003, 2), 5916, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(390, 3285, F3, 2, 17) (dual of [(3285, 2), 6480, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 6570, F3, 17) (dual of [6570, 6480, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(389, 6569, F3, 17) (dual of [6569, 6480, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(389, 6569, F3, 17) (dual of [6569, 6480, 18]-code), using
- OOA 2-folding [i] based on linear OA(390, 6570, F3, 17) (dual of [6570, 6480, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(390, 1501, F3, 5, 17) (dual of [(1501, 5), 7415, 18]-NRT-code) | [i] | OOA Folding | |