Information on Result #893988
Linear OOA(798, 5764804, F7, 2, 13) (dual of [(5764804, 2), 11529510, 14]-NRT-code), using trace code based on linear OOA(4949, 2882402, F49, 2, 13) (dual of [(2882402, 2), 5764755, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4949, 5764804, F49, 13) (dual of [5764804, 5764755, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4949, 5764805, F49, 13) (dual of [5764805, 5764756, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4949, 5764801, F49, 13) (dual of [5764801, 5764752, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(4949, 5764805, F49, 13) (dual of [5764805, 5764756, 14]-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(799, 5764804, F7, 2, 13) (dual of [(5764804, 2), 11529509, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(7109, 5764854, F7, 2, 13) (dual of [(5764854, 2), 11529599, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(7110, 5764904, F7, 2, 13) (dual of [(5764904, 2), 11529698, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(798, 2882402, F7, 3, 13) (dual of [(2882402, 3), 8647108, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(798, 1921601, F7, 14, 13) (dual of [(1921601, 14), 26902316, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |