Information on Result #684029
Linear OA(592, 128, F5, 48) (dual of [128, 36, 49]-code), using construction X applied to Ce(47) ⊂ Ce(46) based on
- linear OA(592, 125, F5, 48) (dual of [125, 33, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [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(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(593, 129, F5, 48) (dual of [129, 36, 49]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(592, 64, F5, 2, 48) (dual of [(64, 2), 36, 49]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(592, 42, F5, 3, 48) (dual of [(42, 3), 34, 49]-NRT-code) | [i] | ||