Information on Result #710260
Linear OA(5104, 154, F5, 48) (dual of [154, 50, 49]-code), using construction XX applied to C1 = C([16,62]), C2 = C([25,63]), C3 = C1 + C2 = C([25,62]), and C∩ = C1 ∩ C2 = C([16,63]) based on
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,62}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,63}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,63}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,62}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(512, 27, F5, 8) (dual of [27, 15, 9]-code), using
- 3 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]
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 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(5104, 77, F5, 2, 48) (dual of [(77, 2), 50, 49]-NRT-code) | [i] | OOA Folding | |