Information on Result #710569
Linear OA(552, 321, F5, 17) (dual of [321, 269, 18]-code), using construction XX applied to C1 = C([63,78]), C2 = C([65,79]), C3 = C1 + C2 = C([65,78]), and C∩ = C1 ∩ C2 = C([63,79]) based on
- linear OA(547, 312, F5, 16) (dual of [312, 265, 17]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,78}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(547, 312, F5, 15) (dual of [312, 265, 16]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,79}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(551, 312, F5, 17) (dual of [312, 261, 18]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,79}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(543, 312, F5, 14) (dual of [312, 269, 15]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,78}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(552, 160, F5, 2, 17) (dual of [(160, 2), 268, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(552, 107, F5, 3, 17) (dual of [(107, 3), 269, 18]-NRT-code) | [i] | ||