Information on Result #737634
Linear OA(5144, 3158, F5, 34) (dual of [3158, 3014, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
- linear OA(5136, 3125, F5, 34) (dual of [3125, 2989, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(5145, 3159, F5, 34) (dual of [3159, 3014, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5144, 1579, F5, 2, 34) (dual of [(1579, 2), 3014, 35]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5144, 1052, F5, 3, 34) (dual of [(1052, 3), 3012, 35]-NRT-code) | [i] | ||