Information on Result #710604
Linear OA(579, 322, F5, 25) (dual of [322, 243, 26]-code), using construction XX applied to C1 = C([68,90]), C2 = C([66,88]), C3 = C1 + C2 = C([68,88]), and C∩ = C1 ∩ C2 = C([66,90]) based on
- linear OA(573, 312, F5, 23) (dual of [312, 239, 24]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {68,69,…,90}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(573, 312, F5, 23) (dual of [312, 239, 24]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {66,67,…,88}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(577, 312, F5, 25) (dual of [312, 235, 26]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {66,67,…,90}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(565, 312, F5, 21) (dual of [312, 247, 22]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {68,69,…,88}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code) (see above)
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(579, 161, F5, 2, 25) (dual of [(161, 2), 243, 26]-NRT-code) | [i] | OOA Folding | |