Information on Result #698029
Linear OA(4945, 5764805, F49, 12) (dual of [5764805, 5764760, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4951, 5764855, F49, 12) (dual of [5764855, 5764804, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4952, 5764858, F49, 12) (dual of [5764858, 5764806, 13]-code) | [i] | ||
| 3 | Linear OA(4953, 5764860, F49, 12) (dual of [5764860, 5764807, 13]-code) | [i] | ||
| 4 | Linear OA(4954, 5764907, F49, 12) (dual of [5764907, 5764853, 13]-code) | [i] | ||
| 5 | Linear OA(4955, 5765047, F49, 12) (dual of [5765047, 5764992, 13]-code) | [i] | ||
| 6 | Linear OOA(4945, 2882402, F49, 2, 12) (dual of [(2882402, 2), 5764759, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4945, 1921601, F49, 3, 12) (dual of [(1921601, 3), 5764758, 13]-NRT-code) | [i] | ||