Information on Result #738551
Linear OA(5150, 3182, F5, 33) (dual of [3182, 3032, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,11]) based on
- linear OA(5131, 3126, F5, 33) (dual of [3126, 2995, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(591, 3126, F5, 23) (dual of [3126, 3035, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(519, 56, F5, 9) (dual of [56, 37, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(56, 28, F5, 4) (dual of [28, 22, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(56, 28, F5, 4) (dual of [28, 22, 5]-code), using
- (u, u+v)-construction [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(5150, 1591, F5, 2, 33) (dual of [(1591, 2), 3032, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5150, 1060, F5, 3, 33) (dual of [(1060, 3), 3030, 34]-NRT-code) | [i] | ||