Information on Result #1522064
Linear OOA(3105, 2775, F3, 3, 20) (dual of [(2775, 3), 8220, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3105, 2775, F3, 2, 20) (dual of [(2775, 2), 5445, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3105, 3284, F3, 2, 20) (dual of [(3284, 2), 6463, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3105, 6568, F3, 20) (dual of [6568, 6463, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3105, 6569, F3, 20) (dual of [6569, 6464, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3105, 6569, F3, 20) (dual of [6569, 6464, 21]-code), using
- OOA 2-folding [i] based on linear OA(3105, 6568, F3, 20) (dual of [6568, 6463, 21]-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(3105, 1387, F3, 5, 20) (dual of [(1387, 5), 6830, 21]-NRT-code) | [i] | OOA Folding | |