Information on Result #2246888
Linear OA(5112, 148, F5, 58) (dual of [148, 36, 59]-code), using 3 times truncation based on linear OA(5115, 151, F5, 61) (dual of [151, 36, 62]-code), using
- construction X applied to Ce(61) ⊂ Ce(46) [i] based on
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(517, 26, F5, 13) (dual of [26, 9, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(5112, 74, F5, 2, 58) (dual of [(74, 2), 36, 59]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5112, 49, F5, 3, 58) (dual of [(49, 3), 35, 59]-NRT-code) | [i] | ||