Information on Result #683985
Linear OA(5117, 138, F5, 71) (dual of [138, 21, 72]-code), using construction X applied to C([0,36]) ⊂ C([0,32]) based on
- linear OA(5111, 126, F5, 73) (dual of [126, 15, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (BCH-bound) [i]
- linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
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(5117, 69, F5, 2, 71) (dual of [(69, 2), 21, 72]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5117, 46, F5, 3, 71) (dual of [(46, 3), 21, 72]-NRT-code) | [i] | ||