Information on Result #683466
Linear OA(5136, 634, F5, 43) (dual of [634, 498, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) based on
- linear OA(5135, 625, F5, 43) (dual of [625, 490, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5127, 625, F5, 41) (dual of [625, 498, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(5136, 317, F5, 2, 43) (dual of [(317, 2), 498, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5136, 211, F5, 3, 43) (dual of [(211, 3), 497, 44]-NRT-code) | [i] | ||