Information on Result #618530
Linear OA(4951, large, F49, 11) (dual of [large, large−51, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(4951, large, F49, 10) (dual of [large, large−51, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4951, large, F49, 9) (dual of [large, large−51, 10]-code) | [i] | ||
| 3 | Linear OA(4951, large, F49, 8) (dual of [large, large−51, 9]-code) | [i] | ||
| 4 | Linear OA(4951, large, F49, 7) (dual of [large, large−51, 8]-code) | [i] | ||
| 5 | Linear OA(4951, large, F49, 6) (dual of [large, large−51, 7]-code) | [i] | ||
| 6 | Linear OA(4951, large, F49, 5) (dual of [large, large−51, 6]-code) | [i] | ||
| 7 | Linear OA(4951, large, F49, 4) (dual of [large, large−51, 5]-code) | [i] | ||
| 8 | Linear OA(4951, large, F49, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 9 | Linear OA(4952, large, F49, 11) (dual of [large, large−52, 12]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(4953, large, F49, 11) (dual of [large, large−53, 12]-code) | [i] | ||
| 11 | Linear OA(4954, large, F49, 11) (dual of [large, large−54, 12]-code) | [i] | ||
| 12 | Linear OA(4955, large, F49, 11) (dual of [large, large−55, 12]-code) | [i] | ||
| 13 | Linear OOA(4951, 4194301, F49, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(4951, 2796201, F49, 3, 11) (dual of [(2796201, 3), 8388552, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(4951, 1677720, F49, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |