Information on Result #2248620
Linear OA(767, 16838, F7, 14) (dual of [16838, 16771, 15]-code), using 1 times truncation based on linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), 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(767, 8419, F7, 2, 14) (dual of [(8419, 2), 16771, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(767, 5612, F7, 3, 14) (dual of [(5612, 3), 16769, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(767, 2405, F7, 14, 14) (dual of [(2405, 14), 33603, 15]-NRT-code) | [i] | OA Folding and Stacking | |