Information on Result #678135
Linear OA(441, 1048586, F4, 6) (dual of [1048586, 1048545, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- 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(431, 1048576, F4, 5) (dual of [1048576, 1048545, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(443, 1048590, F4, 6) (dual of [1048590, 1048547, 7]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(441, 524293, F4, 2, 6) (dual of [(524293, 2), 1048545, 7]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(441, 349528, F4, 3, 6) (dual of [(349528, 3), 1048543, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(441, 349528, F4, 6, 6) (dual of [(349528, 6), 2097127, 7]-NRT-code) | [i] | OA Folding and Stacking | |