Information on Result #710447
Linear OA(5118, 135, F5, 74) (dual of [135, 17, 75]-code), using construction XX applied to C1 = C([21,92]), C2 = C([25,94]), C3 = C1 + C2 = C([25,92]), and C∩ = C1 ∩ C2 = C([21,94]) based on
- linear OA(5110, 124, F5, 72) (dual of [124, 14, 73]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,92}, and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(5111, 124, F5, 70) (dual of [124, 13, 71]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,94}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(5114, 124, F5, 74) (dual of [124, 10, 75]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,94}, and designed minimum distance d ≥ |I|+1 = 75 [i]
- linear OA(5107, 124, F5, 68) (dual of [124, 17, 69]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,92}, and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
- 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(5118, 45, F5, 3, 74) (dual of [(45, 3), 17, 75]-NRT-code) | [i] | OOA Folding | |