Information on Result #698354
Linear OA(4921, 243, F49, 12) (dual of [243, 222, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(4921, 241, F49, 12) (dual of [241, 220, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4919, 241, F49, 11) (dual of [241, 222, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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 OOA(4921, 121, F49, 2, 12) (dual of [(121, 2), 221, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4921, 81, F49, 3, 12) (dual of [(81, 3), 222, 13]-NRT-code) | [i] | ||