Information on Result #1008861
Linear OOA(782, 3843202, F7, 3, 11) (dual of [(3843202, 3), 11529524, 12]-NRT-code), using trace code based on linear OOA(4941, 1921601, F49, 3, 11) (dual of [(1921601, 3), 5764762, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4941, 5764803, F49, 11) (dual of [5764803, 5764762, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4941, 5764805, F49, 11) (dual of [5764805, 5764764, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4941, 5764801, F49, 11) (dual of [5764801, 5764760, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4937, 5764801, F49, 10) (dual of [5764801, 5764764, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4941, 5764805, F49, 11) (dual of [5764805, 5764764, 12]-code), using
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(783, 3843202, F7, 3, 11) (dual of [(3843202, 3), 11529523, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(788, 3843215, F7, 3, 11) (dual of [(3843215, 3), 11529557, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(789, 3843223, F7, 3, 11) (dual of [(3843223, 3), 11529580, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(790, 3843230, F7, 3, 11) (dual of [(3843230, 3), 11529600, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(791, 3843252, F7, 3, 11) (dual of [(3843252, 3), 11529665, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(792, 3843302, F7, 3, 11) (dual of [(3843302, 3), 11529814, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(794, 3843310, F7, 3, 11) (dual of [(3843310, 3), 11529836, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(795, 3844378, F7, 3, 11) (dual of [(3844378, 3), 11533039, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(796, 3845554, F7, 3, 11) (dual of [(3845554, 3), 11536566, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(797, 3845555, F7, 3, 11) (dual of [(3845555, 3), 11536568, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(798, 3845562, F7, 3, 11) (dual of [(3845562, 3), 11536588, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(799, 3845611, F7, 3, 11) (dual of [(3845611, 3), 11536734, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(7100, 3845954, F7, 3, 11) (dual of [(3845954, 3), 11537762, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(7101, 3847907, F7, 3, 11) (dual of [(3847907, 3), 11543620, 12]-NRT-code) | [i] | ||