Information on Result #678224
Linear OA(4168, 1048619, F4, 22) (dual of [1048619, 1048451, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), 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(4168, 524309, F4, 2, 22) (dual of [(524309, 2), 1048450, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4168, 349539, F4, 3, 22) (dual of [(349539, 3), 1048449, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(4168, 95329, F4, 22, 22) (dual of [(95329, 22), 2097070, 23]-NRT-code) | [i] | OA Folding and Stacking | |