Information on Result #710628
Linear OA(598, 331, F5, 32) (dual of [331, 233, 33]-code), using construction XX applied to C1 = C([65,94]), C2 = C([63,90]), C3 = C1 + C2 = C([65,90]), and C∩ = C1 ∩ C2 = C([63,94]) based on
- linear OA(589, 312, F5, 30) (dual of [312, 223, 31]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,94}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(583, 312, F5, 28) (dual of [312, 229, 29]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(593, 312, F5, 32) (dual of [312, 219, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,94}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,90}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), 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(598, 165, F5, 2, 32) (dual of [(165, 2), 232, 33]-NRT-code) | [i] | OOA Folding | |