Information on Result #1013860
Linear OOA(789, 3843223, F7, 3, 11) (dual of [(3843223, 3), 11529580, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(77, 21, F7, 3, 5) (dual of [(21, 3), 56, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OOA(782, 3843202, F7, 3, 11) (dual of [(3843202, 3), 11529524, 12]-NRT-code), using
- trace code [i] 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
- OOA 3-folding [i] based on linear OA(4941, 5764803, F49, 11) (dual of [5764803, 5764762, 12]-code), using
- trace code [i] based on linear OOA(4941, 1921601, F49, 3, 11) (dual of [(1921601, 3), 5764762, 12]-NRT-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(789, 1921611, F7, 15, 11) (dual of [(1921611, 15), 28824076, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |