Information on Result #1535634
Linear OOA(4105, 524300, F4, 3, 14) (dual of [(524300, 3), 1572795, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4105, 524300, F4, 2, 14) (dual of [(524300, 2), 1048495, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4105, 1048600, F4, 14) (dual of [1048600, 1048495, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(481, 1048576, F4, 11) (dual of [1048576, 1048495, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(44, 24, F4, 2) (dual of [24, 20, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- Hamming code H(4,4) [i]
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
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(4105, 174766, F4, 21, 14) (dual of [(174766, 21), 3669981, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |