Information on Result #684076
Linear OA(5108, 141, F5, 56) (dual of [141, 33, 57]-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(510, 16, F5, 7) (dual of [16, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,5) [i]
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-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 OOA(5108, 47, F5, 3, 56) (dual of [(47, 3), 33, 57]-NRT-code) | [i] | OOA Folding | |