Information on Result #734614
Linear OA(4955, 5765047, F49, 12) (dual of [5765047, 5764992, 13]-code), using (u, u+v)-construction based on
- linear OA(4910, 242, F49, 6) (dual of [242, 232, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(4910, 241, F49, 6) (dual of [241, 231, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(499, 241, F49, 5) (dual of [241, 232, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(490, 1, F49, 0) (dual of [1, 1, 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(5) ⊂ Ce(4) [i] 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 (see above)
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
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 OOA(4955, 2882523, F49, 2, 12) (dual of [(2882523, 2), 5764991, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4955, 1921682, F49, 3, 12) (dual of [(1921682, 3), 5764991, 13]-NRT-code) | [i] | ||