Information on Result #678157
Linear OA(4164, 1048597, F4, 22) (dual of [1048597, 1048433, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) 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(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(4164, 524298, F4, 2, 22) (dual of [(524298, 2), 1048432, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4164, 349532, F4, 3, 22) (dual of [(349532, 3), 1048432, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(4164, 95327, F4, 22, 22) (dual of [(95327, 22), 2097030, 23]-NRT-code) | [i] | OA Folding and Stacking | |