Information on Result #1008890
Linear OOA(798, 3843202, F7, 3, 13) (dual of [(3843202, 3), 11529508, 14]-NRT-code), using trace code based on linear OOA(4949, 1921601, F49, 3, 13) (dual of [(1921601, 3), 5764754, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4949, 5764803, F49, 13) (dual of [5764803, 5764754, 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, 3843202, F7, 3, 13) (dual of [(3843202, 3), 11529507, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(7105, 3843215, F7, 3, 13) (dual of [(3843215, 3), 11529540, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(7107, 3843218, F7, 3, 13) (dual of [(3843218, 3), 11529547, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(7108, 3843223, F7, 3, 13) (dual of [(3843223, 3), 11529561, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(7109, 3843252, F7, 3, 13) (dual of [(3843252, 3), 11529647, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(7110, 3843302, F7, 3, 13) (dual of [(3843302, 3), 11529796, 14]-NRT-code) | [i] | ||