Information on Result #737667
Linear OA(564, 3158, F5, 14) (dual of [3158, 3094, 15]-code), using construction X applied to Ce(13) ⊂ Ce(7) based on
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(531, 3125, F5, 8) (dual of [3125, 3094, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), 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 OA(565, 3159, F5, 14) (dual of [3159, 3094, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(564, 1579, F5, 2, 14) (dual of [(1579, 2), 3094, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(564, 1052, F5, 3, 14) (dual of [(1052, 3), 3092, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(564, 451, F5, 14, 14) (dual of [(451, 14), 6250, 15]-NRT-code) | [i] | OA Folding and Stacking | |