Information on Result #1524272
Linear OOA(3149, 9471, F3, 3, 24) (dual of [(9471, 3), 28264, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3149, 9471, F3, 2, 24) (dual of [(9471, 2), 18793, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 9853, F3, 2, 24) (dual of [(9853, 2), 19557, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- OOA 2-folding [i] based on linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-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(3149, 4735, F3, 5, 24) (dual of [(4735, 5), 23526, 25]-NRT-code) | [i] | OOA Folding | |