Information on Result #710017
Linear OA(586, 158, F5, 35) (dual of [158, 72, 36]-code), using construction XX applied to C1 = C([123,31]), C2 = C([10,33]), C3 = C1 + C2 = C([10,31]), 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(558, 124, F5, 24) (dual of [124, 66, 25]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {10,11,…,33}, and designed minimum distance d ≥ |I|+1 = 25 [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(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {10,11,…,31}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(514, 27, F5, 10) (dual of [27, 13, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 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(586, 79, F5, 2, 35) (dual of [(79, 2), 72, 36]-NRT-code) | [i] | OOA Folding | |