Information on Result #684448
Linear OA(789, 5764809, F7, 13) (dual of [5764809, 5764720, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(789, 5764801, F7, 13) (dual of [5764801, 5764712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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 OOA(789, 2882404, F7, 2, 13) (dual of [(2882404, 2), 5764719, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(789, 1921603, F7, 3, 13) (dual of [(1921603, 3), 5764720, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(789, 960801, F7, 13, 13) (dual of [(960801, 13), 12490324, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |