Information on Result #710253
Linear OA(587, 137, F5, 43) (dual of [137, 50, 44]-code), using construction XX applied to C1 = C([21,62]), C2 = C([25,63]), C3 = C1 + C2 = C([25,62]), and C∩ = C1 ∩ C2 = C([21,63]) based on
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,62}, and designed minimum distance d ≥ |I|+1 = 43 [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(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,63}, and designed minimum distance d ≥ |I|+1 = 44 [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(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), 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(587, 68, F5, 2, 43) (dual of [(68, 2), 49, 44]-NRT-code) | [i] | OOA Folding | |