Information on Result #684849
Linear OA(798, 16854, F7, 20) (dual of [16854, 16756, 21]-code), using construction X applied to Ce(19) ⊂ Ce(11) 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(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(712, 47, F7, 7) (dual of [47, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-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(798, 8427, F7, 2, 20) (dual of [(8427, 2), 16756, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(798, 5618, F7, 3, 20) (dual of [(5618, 3), 16756, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(798, 1685, F7, 20, 20) (dual of [(1685, 20), 33602, 21]-NRT-code) | [i] | OA Folding and Stacking | |