Information on Result #1645775
Linear OOA(3168, 531462, F3, 5, 19) (dual of [(531462, 5), 2657142, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3168, 531462, F3, 3, 19) (dual of [(531462, 3), 1594218, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3168, 1594386, F3, 19) (dual of [1594386, 1594218, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3168, 1594387, F3, 19) (dual of [1594387, 1594219, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3105, 1594324, F3, 13) (dual of [1594324, 1594219, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3168, 1594387, F3, 19) (dual of [1594387, 1594219, 20]-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(3168, 265730, F3, 25, 19) (dual of [(265730, 25), 6643082, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |