Information on Result #678355
Linear OA(4145, 262153, F4, 22) (dual of [262153, 262008, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4146, 262154, F4, 22) (dual of [262154, 262008, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4147, 262155, F4, 22) (dual of [262155, 262008, 23]-code) | [i] | ||
| 3 | Linear OOA(4145, 131076, F4, 2, 22) (dual of [(131076, 2), 262007, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4145, 87384, F4, 3, 22) (dual of [(87384, 3), 262007, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(4145, 23832, F4, 22, 22) (dual of [(23832, 22), 524159, 23]-NRT-code) | [i] | OA Folding and Stacking | |