Information on Result #1008874
Linear OOA(790, 3843202, F7, 3, 12) (dual of [(3843202, 3), 11529516, 13]-NRT-code), using trace code based on linear OOA(4945, 1921601, F49, 3, 12) (dual of [(1921601, 3), 5764758, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4945, 5764803, F49, 12) (dual of [5764803, 5764758, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4945, 5764805, F49, 12) (dual of [5764805, 5764760, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- 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(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(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(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(4945, 5764805, F49, 12) (dual of [5764805, 5764760, 13]-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(791, 3843202, F7, 3, 12) (dual of [(3843202, 3), 11529515, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(797, 3843215, F7, 3, 12) (dual of [(3843215, 3), 11529548, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(799, 3843218, F7, 3, 12) (dual of [(3843218, 3), 11529555, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(7100, 3843223, F7, 3, 12) (dual of [(3843223, 3), 11529569, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(7101, 3843252, F7, 3, 12) (dual of [(3843252, 3), 11529655, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(7102, 3843302, F7, 3, 12) (dual of [(3843302, 3), 11529804, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(7104, 3843304, F7, 3, 12) (dual of [(3843304, 3), 11529808, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(7105, 3843310, F7, 3, 12) (dual of [(3843310, 3), 11529825, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(7106, 3843352, F7, 3, 12) (dual of [(3843352, 3), 11529950, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(7107, 3843402, F7, 3, 12) (dual of [(3843402, 3), 11530099, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(7109, 3843406, F7, 3, 12) (dual of [(3843406, 3), 11530109, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(7110, 3843471, F7, 3, 12) (dual of [(3843471, 3), 11530303, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(7109, 3843410, F7, 3, 12) (dual of [(3843410, 3), 11530121, 13]-NRT-code) | [i] | ||