Information on Result #698367
Linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 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 | OA(16111, 262152, S16, 25) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3289, 262152, S32, 25) | [i] | ||
| 3 | Linear OA(6487, 262232, F64, 25) (dual of [262232, 262145, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6489, 262256, F64, 25) (dual of [262256, 262167, 26]-code) | [i] | ||
| 5 | Linear OA(6491, 262280, F64, 25) (dual of [262280, 262189, 26]-code) | [i] | ||
| 6 | Linear OOA(6474, 131076, F64, 2, 25) (dual of [(131076, 2), 262078, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(6474, 87384, F64, 3, 25) (dual of [(87384, 3), 262078, 26]-NRT-code) | [i] | ||