Information on Result #684077
Linear OA(5104, 137, F5, 54) (dual of [137, 33, 55]-code), using construction X applied to Ce(61) ⊂ Ce(47) based on
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- 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(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
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(5103, 136, F5, 53) (dual of [136, 33, 54]-code) | [i] | Truncation | |
| 2 | Linear OA(5102, 135, F5, 52) (dual of [135, 33, 53]-code) | [i] | ||
| 3 | Linear OOA(5104, 68, F5, 2, 54) (dual of [(68, 2), 32, 55]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5104, 45, F5, 3, 54) (dual of [(45, 3), 31, 55]-NRT-code) | [i] | ||