Information on Result #618567
Linear OA(4943, 117650, F49, 15) (dual of [117650, 117607, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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 OA(4950, 117700, F49, 15) (dual of [117700, 117650, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4951, 117703, F49, 15) (dual of [117703, 117652, 16]-code) | [i] | ||
| 3 | Linear OA(4952, 117705, F49, 15) (dual of [117705, 117653, 16]-code) | [i] | ||
| 4 | Linear OA(4953, 117748, F49, 15) (dual of [117748, 117695, 16]-code) | [i] | ||
| 5 | Linear OA(4954, 117800, F49, 15) (dual of [117800, 117746, 16]-code) | [i] | ||
| 6 | Linear OA(4955, 117891, F49, 15) (dual of [117891, 117836, 16]-code) | [i] | ||
| 7 | Linear OA(4953, 117750, F49, 15) (dual of [117750, 117697, 16]-code) | [i] | ||
| 8 | Linear OA(4955, 117750, F49, 15) (dual of [117750, 117695, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(4950, 117658, F49, 15) (dual of [117658, 117608, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(4950, 117657, F49, 17) (dual of [117657, 117607, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(4944, 117657, F49, 15) (dual of [117657, 117613, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(4946, 117665, F49, 15) (dual of [117665, 117619, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(4948, 117673, F49, 15) (dual of [117673, 117625, 16]-code) | [i] | ✔ | |
| 14 | Linear OOA(4943, 16807, F49, 15, 15) (dual of [(16807, 15), 252062, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |