Information on Result #678257
Linear OA(4249, 1048654, F4, 31) (dual of [1048654, 1048405, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(418, 78, F4, 7) (dual of [78, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-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 OA(4250, 1048655, F4, 31) (dual of [1048655, 1048405, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4251, 1048656, F4, 31) (dual of [1048656, 1048405, 32]-code) | [i] | ||
| 3 | Linear OOA(4249, 524327, F4, 2, 31) (dual of [(524327, 2), 1048405, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4249, 349551, F4, 3, 31) (dual of [(349551, 3), 1048404, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(4249, 69910, F4, 31, 31) (dual of [(69910, 31), 2166961, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |