Information on Result #684746
Linear OA(786, 16812, F7, 20) (dual of [16812, 16726, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 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(786, 8406, F7, 2, 20) (dual of [(8406, 2), 16726, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(786, 5604, F7, 3, 20) (dual of [(5604, 3), 16726, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(786, 1681, F7, 20, 20) (dual of [(1681, 20), 33534, 21]-NRT-code) | [i] | OA Folding and Stacking | |