Information on Result #698373
Linear OA(6438, 262152, F64, 13) (dual of [262152, 262114, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,5]) based on
- linear OA(6437, 262145, F64, 13) (dual of [262145, 262108, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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 | Linear OA(876, 524304, F8, 13) (dual of [524304, 524228, 14]-code) | [i] | Trace Code | |
| 2 | OA(1657, 262152, S16, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3246, 262152, S32, 13) | [i] | ||
| 4 | Linear OA(6445, 262232, F64, 13) (dual of [262232, 262187, 14]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OOA(6438, 131076, F64, 2, 13) (dual of [(131076, 2), 262114, 14]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6438, 87384, F64, 3, 13) (dual of [(87384, 3), 262114, 14]-NRT-code) | [i] | ||