Information on Result #904651
Linear OOA(8161, 3445, F81, 2, 23) (dual of [(3445, 2), 6829, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 164, F81, 2, 11) (dual of [(164, 2), 312, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8111, 82, F81, 2, 11) (dual of [(82, 2), 153, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;153,81) [i]
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8145, 3281, F81, 2, 23) (dual of [(3281, 2), 6517, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), 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(8161, 1722, F81, 4, 23) (dual of [(1722, 4), 6827, 24]-NRT-code) | [i] | OOA Folding | |