Information on Result #976511
Linear OOA(7100, 274519, F7, 3, 17) (dual of [(274519, 3), 823457, 18]-NRT-code), using OOA 3-folding based on linear OA(7100, 823557, F7, 17) (dual of [823557, 823457, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(7100, 823559, F7, 17) (dual of [823559, 823459, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(799, 823544, F7, 17) (dual of [823544, 823445, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(785, 823544, F7, 15) (dual of [823544, 823459, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
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(7109, 274532, F7, 3, 17) (dual of [(274532, 3), 823487, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |