Information on Result #873132
Linear OOA(4913, 2882402, F49, 2, 4) (dual of [(2882402, 2), 5764791, 5]-NRT-code), using OOA 2-folding based on linear OA(4913, 5764804, F49, 4) (dual of [5764804, 5764791, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(4913, 5764805, F49, 4) (dual of [5764805, 5764792, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(499, 5764801, F49, 3) (dual of [5764801, 5764792, 4]-code or 5764801-cap in PG(8,49)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
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(726, 5764804, F7, 2, 4) (dual of [(5764804, 2), 11529582, 5]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4915, 2882452, F49, 2, 4) (dual of [(2882452, 2), 5764889, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4918, 5764804, F49, 2, 4) (dual of [(5764804, 2), 11529590, 5]-NRT-code) | [i] | ||
| 4 | Linear OOA(4942, 5764804, F49, 2, 8) (dual of [(5764804, 2), 11529566, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(4943, 5764807, F49, 2, 8) (dual of [(5764807, 2), 11529571, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(4946, 5764854, F49, 2, 8) (dual of [(5764854, 2), 11529662, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(4948, 5765980, F49, 2, 8) (dual of [(5765980, 2), 11531912, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(4949, 7076703, F49, 2, 8) (dual of [(7076703, 2), 14153357, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(4946, 5764804, F49, 2, 9) (dual of [(5764804, 2), 11529562, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(4947, 5764808, F49, 2, 9) (dual of [(5764808, 2), 11529569, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(4950, 5764854, F49, 2, 9) (dual of [(5764854, 2), 11529658, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(4951, 5764858, F49, 2, 9) (dual of [(5764858, 2), 11529665, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(4952, 5765980, F49, 2, 9) (dual of [(5765980, 2), 11531908, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(4953, 5766006, F49, 2, 9) (dual of [(5766006, 2), 11531959, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(4954, 7076703, F49, 2, 9) (dual of [(7076703, 2), 14153352, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(4953, large, F49, 2, 8) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 17 | Linear OOA(4919, large, F49, 2, 4) | [i] | ||
| 18 | Linear OOA(4952, large, F49, 2, 8) | [i] | ||
| 19 | Linear OOA(4951, large, F49, 2, 8) | [i] | ||
| 20 | Linear OOA(4953, 5767306, F49, 2, 9) (dual of [(5767306, 2), 11534559, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(4947, 5764954, F49, 2, 8) (dual of [(5764954, 2), 11529861, 9]-NRT-code) | [i] | ||
| 22 | Linear OOA(4948, 5767355, F49, 2, 8) (dual of [(5767355, 2), 11534662, 9]-NRT-code) | [i] | ||
| 23 | Linear OOA(4950, large, F49, 2, 8) | [i] | ||
| 24 | Linear OOA(4951, 5764904, F49, 2, 9) (dual of [(5764904, 2), 11529757, 10]-NRT-code) | [i] | ||
| 25 | Linear OOA(4952, 5767256, F49, 2, 9) (dual of [(5767256, 2), 11534460, 10]-NRT-code) | [i] | ||
| 26 | Linear OOA(4953, 5769608, F49, 2, 9) (dual of [(5769608, 2), 11539163, 10]-NRT-code) | [i] | ||
| 27 | Linear OOA(4953, 5770804, F49, 2, 9) (dual of [(5770804, 2), 11541555, 10]-NRT-code) | [i] | ||
| 28 | Linear OOA(4955, large, F49, 2, 9) | [i] | ||
| 29 | Linear OOA(4946, 5764904, F49, 2, 8) (dual of [(5764904, 2), 11529762, 9]-NRT-code) | [i] | ||
| 30 | Linear OOA(4947, 5767305, F49, 2, 8) (dual of [(5767305, 2), 11534563, 9]-NRT-code) | [i] | ||
| 31 | Linear OOA(4948, 5769706, F49, 2, 8) (dual of [(5769706, 2), 11539364, 9]-NRT-code) | [i] | ||
| 32 | Linear OOA(4948, 5884954, F49, 2, 8) (dual of [(5884954, 2), 11769860, 9]-NRT-code) | [i] | ||
| 33 | Linear OOA(4949, large, F49, 2, 8) | [i] | ||
| 34 | Linear OOA(4949, 5764854, F49, 2, 9) (dual of [(5764854, 2), 11529659, 10]-NRT-code) | [i] | ||
| 35 | Linear OOA(4950, 5767206, F49, 2, 9) (dual of [(5767206, 2), 11534362, 10]-NRT-code) | [i] | ||
| 36 | Linear OOA(4951, 5770754, F49, 2, 9) (dual of [(5770754, 2), 11541457, 10]-NRT-code) | [i] | ||
| 37 | Linear OOA(4952, 5885004, F49, 2, 9) (dual of [(5885004, 2), 11769956, 10]-NRT-code) | [i] | ||
| 38 | Linear OOA(4953, large, F49, 2, 9) | [i] | ||
| 39 | Linear OOA(4944, 5764854, F49, 2, 8) (dual of [(5764854, 2), 11529664, 9]-NRT-code) | [i] | ||
| 40 | Linear OOA(4945, 5767255, F49, 2, 8) (dual of [(5767255, 2), 11534465, 9]-NRT-code) | [i] | ||
| 41 | Linear OOA(4946, 5884904, F49, 2, 8) (dual of [(5884904, 2), 11769762, 9]-NRT-code) | [i] | ||
| 42 | Linear OOA(4947, large, F49, 2, 8) | [i] | ||