Information on Result #698602
Linear OA(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
- linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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 OA(884, 8204, F8, 21) (dual of [8204, 8120, 22]-code) | [i] | Trace Code | |
| 2 | OA(3251, 4102, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6453, 4182, F64, 21) (dual of [4182, 4129, 22]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6455, 4206, F64, 21) (dual of [4206, 4151, 22]-code) | [i] | ||
| 5 | Linear OOA(6442, 2051, F64, 2, 21) (dual of [(2051, 2), 4060, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6442, 1367, F64, 3, 21) (dual of [(1367, 3), 4059, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(6442, 410, F64, 21, 21) (dual of [(410, 21), 8568, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |