Information on Result #678339
Linear OA(4253, 262153, F4, 38) (dual of [262153, 261900, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) based on
- linear OA(4253, 262144, F4, 38) (dual of [262144, 261891, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(4254, 262154, F4, 38) (dual of [262154, 261900, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4255, 262155, F4, 38) (dual of [262155, 261900, 39]-code) | [i] | ||
| 3 | Linear OOA(4253, 131076, F4, 2, 38) (dual of [(131076, 2), 261899, 39]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4253, 87384, F4, 3, 38) (dual of [(87384, 3), 261899, 39]-NRT-code) | [i] | ||