Information on Result #893969
Linear OOA(782, 5764804, F7, 2, 11) (dual of [(5764804, 2), 11529526, 12]-NRT-code), using trace code based on linear OOA(4941, 2882402, F49, 2, 11) (dual of [(2882402, 2), 5764763, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4941, 5764804, F49, 11) (dual of [5764804, 5764763, 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, 5764804, F7, 2, 11) (dual of [(5764804, 2), 11529525, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(789, 5764825, F7, 2, 11) (dual of [(5764825, 2), 11529561, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(790, 5764832, F7, 2, 11) (dual of [(5764832, 2), 11529574, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(791, 5764854, F7, 2, 11) (dual of [(5764854, 2), 11529617, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(792, 5764904, F7, 2, 11) (dual of [(5764904, 2), 11529716, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(794, 5764912, F7, 2, 11) (dual of [(5764912, 2), 11529730, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(795, 5765980, F7, 2, 11) (dual of [(5765980, 2), 11531865, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(798, 5767165, F7, 2, 11) (dual of [(5767165, 2), 11534232, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(799, 5767214, F7, 2, 11) (dual of [(5767214, 2), 11534329, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(7100, 5767557, F7, 2, 11) (dual of [(5767557, 2), 11535014, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(7101, 5769510, F7, 2, 11) (dual of [(5769510, 2), 11538919, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(782, 2882402, F7, 3, 11) (dual of [(2882402, 3), 8647124, 12]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(782, 1921601, F7, 14, 11) (dual of [(1921601, 14), 26902332, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |