Information on Result #684831
Linear OA(788, 16839, F7, 19) (dual of [16839, 16751, 20]-code), using construction X applied to Ce(18) ⊂ Ce(12) based on
- 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(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OA(789, 16840, F7, 19) (dual of [16840, 16751, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(790, 16841, F7, 19) (dual of [16841, 16751, 20]-code) | [i] | ||
| 3 | Linear OA(791, 16842, F7, 19) (dual of [16842, 16751, 20]-code) | [i] | ||
| 4 | Linear OOA(788, 8419, F7, 2, 19) (dual of [(8419, 2), 16750, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(788, 5613, F7, 3, 19) (dual of [(5613, 3), 16751, 20]-NRT-code) | [i] | ||