Information on Result #893984
Linear OOA(796, 5767158, F7, 2, 11) (dual of [(5767158, 2), 11534220, 12]-NRT-code), using trace code based on linear OOA(4948, 2883579, F49, 2, 11) (dual of [(2883579, 2), 5767110, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4948, 5767158, F49, 11) (dual of [5767158, 5767110, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- 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
- (u, u+v)-construction [i] based on
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(797, 5767158, F7, 2, 11) (dual of [(5767158, 2), 11534219, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(796, 2883579, F7, 3, 11) (dual of [(2883579, 3), 8650641, 12]-NRT-code) | [i] | OOA Folding | |