Information on Result #684115
Linear OA(5121, 141, F5, 74) (dual of [141, 20, 75]-code), using construction X applied to Ce(73) ⊂ Ce(67) based on
- linear OA(5114, 125, F5, 74) (dual of [125, 11, 75]-code), using an extension Ce(73) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,73], and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(57, 16, F5, 5) (dual of [16, 9, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 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 OOA(5121, 47, F5, 3, 74) (dual of [(47, 3), 20, 75]-NRT-code) | [i] | OOA Folding | |