Information on Result #683953
Linear OA(5139, 160, F5, 81) (dual of [160, 21, 82]-code), using construction X applied to Ce(80) ⊂ Ce(77) based on
- linear OA(5137, 157, F5, 81) (dual of [157, 20, 82]-code), using an extension Ce(80) of the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,80], and designed minimum distance d ≥ |I|+1 = 81 [i]
- linear OA(5136, 157, F5, 78) (dual of [157, 21, 79]-code), using an extension Ce(77) of the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), using
- dual of repetition code with length 3 [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(5139, 80, F5, 2, 81) (dual of [(80, 2), 21, 82]-NRT-code) | [i] | OOA Folding | |