Information on Result #710409
Linear OA(5122, 147, F5, 73) (dual of [147, 25, 74]-code), using construction XX applied to C1 = C([119,62]), C2 = C([1,67]), C3 = C1 + C2 = C([1,62]), and C∩ = C1 ∩ C2 = C([119,67]) based on
- linear OA(5105, 124, F5, 68) (dual of [124, 19, 69]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,62}, and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(5104, 124, F5, 67) (dual of [124, 20, 68]-code), using 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(5111, 124, F5, 73) (dual of [124, 13, 74]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,67}, and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(598, 124, F5, 62) (dual of [124, 26, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-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(5122, 49, F5, 3, 73) (dual of [(49, 3), 25, 74]-NRT-code) | [i] | OOA Folding | |