Information on Result #678353
Linear OA(4164, 262154, F4, 25) (dual of [262154, 261990, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(4165, 262155, F4, 25) (dual of [262155, 261990, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4163, 262153, F4, 24) (dual of [262153, 261990, 25]-code) | [i] | Truncation | |
| 3 | Linear OOA(4164, 131077, F4, 2, 25) (dual of [(131077, 2), 261990, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4164, 87384, F4, 3, 25) (dual of [(87384, 3), 261988, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(4164, 21846, F4, 25, 25) (dual of [(21846, 25), 545986, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |