Information on Result #944776
Linear OOA(4913, 2882402, F49, 3, 4) (dual of [(2882402, 3), 8647193, 5]-NRT-code), using OA 2-folding and stacking 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, k and s, k and t, m and s, 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 OOA(726, 5764804, F7, 3, 4) (dual of [(5764804, 3), 17294386, 5]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4915, 2882452, F49, 3, 4) (dual of [(2882452, 3), 8647341, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4918, 5764804, F49, 3, 4) (dual of [(5764804, 3), 17294394, 5]-NRT-code) | [i] | ||
| 4 | Linear OOA(4942, 3843202, F49, 3, 8) (dual of [(3843202, 3), 11529564, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(4943, 3843206, F49, 3, 8) (dual of [(3843206, 3), 11529575, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(4944, 3843210, F49, 3, 8) (dual of [(3843210, 3), 11529586, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(4945, 3843212, F49, 3, 8) (dual of [(3843212, 3), 11529591, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(4946, 3843302, F49, 3, 8) (dual of [(3843302, 3), 11529860, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(4949, 5592402, F49, 3, 8) (dual of [(5592402, 3), 16777157, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(4952, 5592404, F49, 3, 8) (dual of [(5592404, 3), 16777160, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(4953, 5592502, F49, 3, 8) (dual of [(5592502, 3), 16777453, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(4954, 5592504, F49, 3, 8) (dual of [(5592504, 3), 16777458, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(4955, 6725604, F49, 3, 8) (dual of [(6725604, 3), 20176757, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(4946, 3843202, F49, 3, 9) (dual of [(3843202, 3), 11529560, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(4947, 3843208, F49, 3, 9) (dual of [(3843208, 3), 11529577, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(4948, 3843210, F49, 3, 9) (dual of [(3843210, 3), 11529582, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(4949, 3843214, F49, 3, 9) (dual of [(3843214, 3), 11529593, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(4950, 3843302, F49, 3, 9) (dual of [(3843302, 3), 11529856, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(4951, 3843308, F49, 3, 9) (dual of [(3843308, 3), 11529873, 10]-NRT-code) | [i] | ||
| 20 | Linear OOA(4952, 3845554, F49, 3, 9) (dual of [(3845554, 3), 11536610, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(4954, 5592402, F49, 3, 9) (dual of [(5592402, 3), 16777152, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(4954, large, F49, 3, 8) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 23 | Linear OOA(4953, 5767103, F49, 3, 8) (dual of [(5767103, 3), 17301256, 9]-NRT-code) | [i] | ||
| 24 | Linear OOA(4919, large, F49, 3, 4) | [i] | ||
| 25 | Linear OOA(4952, 5765003, F49, 3, 8) (dual of [(5765003, 3), 17294957, 9]-NRT-code) | [i] | ||
| 26 | Linear OOA(4953, 5774607, F49, 3, 8) (dual of [(5774607, 3), 17323768, 9]-NRT-code) | [i] | ||
| 27 | Linear OOA(4951, 5764953, F49, 3, 8) (dual of [(5764953, 3), 17294808, 9]-NRT-code) | [i] | ||
| 28 | Linear OOA(4952, 5772156, F49, 3, 8) (dual of [(5772156, 3), 17316416, 9]-NRT-code) | [i] | ||
| 29 | Linear OOA(4953, 6125103, F49, 3, 8) (dual of [(6125103, 3), 18375256, 9]-NRT-code) | [i] | ||
| 30 | Linear OOA(4950, 5764903, F49, 3, 8) (dual of [(5764903, 3), 17294659, 9]-NRT-code) | [i] | ||
| 31 | Linear OOA(4951, 5769705, F49, 3, 8) (dual of [(5769705, 3), 17309064, 9]-NRT-code) | [i] | ||
| 32 | Linear OOA(4952, 6005003, F49, 3, 8) (dual of [(6005003, 3), 18014957, 9]-NRT-code) | [i] | ||
| 33 | Linear OOA(4953, large, F49, 3, 8) | [i] | ||
| 34 | Linear OOA(4952, 3845654, F49, 3, 9) (dual of [(3845654, 3), 11536910, 10]-NRT-code) | [i] | ||
| 35 | Linear OOA(4955, 5764853, F49, 3, 9) (dual of [(5764853, 3), 17294504, 10]-NRT-code) | [i] | ||
| 36 | Linear OOA(4949, 5764853, F49, 3, 8) (dual of [(5764853, 3), 17294510, 9]-NRT-code) | [i] | ||
| 37 | Linear OOA(4950, 5767254, F49, 3, 8) (dual of [(5767254, 3), 17301712, 9]-NRT-code) | [i] | ||
| 38 | Linear OOA(4951, 5884903, F49, 3, 8) (dual of [(5884903, 3), 17654658, 9]-NRT-code) | [i] | ||
| 39 | Linear OOA(4952, 7686404, F49, 3, 8) (dual of [(7686404, 3), 23059160, 9]-NRT-code) | [i] | ||
| 40 | Linear OOA(4949, 3843252, F49, 3, 9) (dual of [(3843252, 3), 11529707, 10]-NRT-code) | [i] | ||
| 41 | Linear OOA(4950, 3845604, F49, 3, 9) (dual of [(3845604, 3), 11536762, 10]-NRT-code) | [i] | ||
| 42 | Linear OOA(4951, 3849152, F49, 3, 9) (dual of [(3849152, 3), 11547405, 10]-NRT-code) | [i] | ||
| 43 | Linear OOA(4952, 3963402, F49, 3, 9) (dual of [(3963402, 3), 11890154, 10]-NRT-code) | [i] | ||
| 44 | Linear OOA(4953, 5764803, F49, 3, 9) (dual of [(5764803, 3), 17294356, 10]-NRT-code) | [i] | ||
| 45 | Linear OOA(4954, 5764812, F49, 3, 9) (dual of [(5764812, 3), 17294382, 10]-NRT-code) | [i] | ||
| 46 | Linear OOA(4944, 3843252, F49, 3, 8) (dual of [(3843252, 3), 11529712, 9]-NRT-code) | [i] | ||
| 47 | Linear OOA(4945, 3845653, F49, 3, 8) (dual of [(3845653, 3), 11536914, 9]-NRT-code) | [i] | ||
| 48 | Linear OOA(4946, 3963302, F49, 3, 8) (dual of [(3963302, 3), 11889860, 9]-NRT-code) | [i] | ||
| 49 | Linear OOA(4947, 5764803, F49, 3, 8) (dual of [(5764803, 3), 17294362, 9]-NRT-code) | [i] | ||
| 50 | Linear OOA(4948, 5764809, F49, 3, 8) (dual of [(5764809, 3), 17294379, 9]-NRT-code) | [i] | ||
| 51 | Linear OOA(4913, 2882402, F49, 4, 4) (dual of [(2882402, 4), 11529595, 5]-NRT-code) | [i] | Appending kth Column | |