Information on Result #678160
Linear OA(4154, 1048597, F4, 21) (dual of [1048597, 1048443, 22]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4154, 524298, F4, 2, 21) (dual of [(524298, 2), 1048442, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4154, 349532, F4, 3, 21) (dual of [(349532, 3), 1048442, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(4154, 104859, F4, 21, 21) (dual of [(104859, 21), 2201885, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |