Information on Result #683879
Linear OA(5136, 318, F5, 46) (dual of [318, 182, 47]-code), using construction X applied to Ce(45) ⊂ Ce(43) based on
- linear OA(5135, 313, F5, 46) (dual of [313, 178, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5131, 313, F5, 44) (dual of [313, 182, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 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, 159, F5, 2, 46) (dual of [(159, 2), 182, 47]-NRT-code) | [i] | OOA Folding | |