Information on Result #710388
Linear OA(5132, 158, F5, 75) (dual of [158, 26, 76]-code), using construction XX applied to C1 = C([113,61]), C2 = C([0,63]), C3 = C1 + C2 = C([0,61]), and C∩ = C1 ∩ C2 = C([113,63]) based on
- linear OA(5113, 124, F5, 73) (dual of [124, 11, 74]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,61}, and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(5102, 124, F5, 64) (dual of [124, 22, 65]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,63], and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(5117, 124, F5, 75) (dual of [124, 7, 76]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,63}, and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(598, 124, F5, 62) (dual of [124, 26, 63]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,61], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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 OOA(5132, 79, F5, 2, 75) (dual of [(79, 2), 26, 76]-NRT-code) | [i] | OOA Folding | |