Information on Result #2218464
Linear OA(3298, 210, F32, 56) (dual of [210, 112, 57]-code), using strength reduction based on linear OA(3298, 210, F32, 57) (dual of [210, 112, 58]-code), using
- construction X applied to C([0,28]) ⊂ C([0,27]) [i] based on
- linear OA(3297, 205, F32, 57) (dual of [205, 108, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(3293, 205, F32, 55) (dual of [205, 112, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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(3298, 105, F32, 2, 56) (dual of [(105, 2), 112, 57]-NRT-code) | [i] | OOA Folding | |