Information on Result #678133
Linear OA(451, 1048586, F4, 7) (dual of [1048586, 1048535, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(451, 1048576, F4, 7) (dual of [1048576, 1048525, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(441, 1048576, F4, 6) (dual of [1048576, 1048535, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(455, 1048603, F4, 7) (dual of [1048603, 1048548, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(451, 524293, F4, 2, 7) (dual of [(524293, 2), 1048535, 8]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(451, 349528, F4, 3, 7) (dual of [(349528, 3), 1048533, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(451, 349528, F4, 7, 7) (dual of [(349528, 7), 2446645, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |