Information on Result #1545543
Linear OOA(4247, 524326, F4, 3, 31) (dual of [(524326, 3), 1572731, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4247, 524326, F4, 2, 31) (dual of [(524326, 2), 1048405, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4247, 1048652, F4, 31) (dual of [1048652, 1048405, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4246, 1048651, F4, 31) (dual of [1048651, 1048405, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] 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(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4246, 1048651, F4, 31) (dual of [1048651, 1048405, 32]-code), using
Mode: 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(4248, 524326, F4, 3, 31) (dual of [(524326, 3), 1572730, 32]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4247, 104865, F4, 33, 31) (dual of [(104865, 33), 3460298, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |