Information on Result #710009
Linear OA(587, 161, F5, 35) (dual of [161, 74, 36]-code), using construction XX applied to C1 = C([123,31]), C2 = C([11,33]), C3 = C1 + C2 = C([11,31]), and C∩ = C1 ∩ C2 = C([123,33]) based on
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,…,31}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(555, 124, F5, 23) (dual of [124, 69, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,33}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,31}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(587, 80, F5, 2, 35) (dual of [(80, 2), 73, 36]-NRT-code) | [i] | OOA Folding | |