Information on Result #710444
Linear OA(5120, 140, F5, 74) (dual of [140, 20, 75]-code), using construction XX applied to C1 = C([21,92]), C2 = C([26,94]), C3 = C1 + C2 = C([26,92]), 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(5108, 124, F5, 69) (dual of [124, 16, 70]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,94}, and designed minimum distance d ≥ |I|+1 = 70 [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(5104, 124, F5, 67) (dual of [124, 20, 68]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,92}, and designed minimum distance d ≥ |I|+1 = 68 [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
- 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 OA(5122, 142, F5, 74) (dual of [142, 20, 75]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5123, 143, F5, 74) (dual of [143, 20, 75]-code) | [i] | ||
| 3 | Linear OOA(5120, 70, F5, 2, 74) (dual of [(70, 2), 20, 75]-NRT-code) | [i] | OOA Folding | |