Information on Result #1522314
Linear OOA(3111, 1729, F3, 3, 22) (dual of [(1729, 3), 5076, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3111, 1729, F3, 22) (dual of [1729, 1618, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3111, 2227, F3, 22) (dual of [2227, 2116, 23]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3109, 2225, F3, 22) (dual of [2225, 2116, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3109, 2225, F3, 22) (dual of [2225, 2116, 23]-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(3111, 864, F3, 5, 22) (dual of [(864, 5), 4209, 23]-NRT-code) | [i] | OOA Folding | |