Information on Result #684745
Linear OA(792, 16813, F7, 22) (dual of [16813, 16721, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(71, 6, F7, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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 OA(791, 16812, F7, 21) (dual of [16812, 16721, 22]-code) | [i] | Truncation | |
| 2 | Linear OOA(792, 9678, F7, 2, 22) (dual of [(9678, 2), 19264, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(792, 9678, F7, 3, 22) (dual of [(9678, 3), 28942, 23]-NRT-code) | [i] | ||
| 4 | Digital (70, 92, 9678)-net over F7 | [i] | ||
| 5 | Linear OOA(792, 8406, F7, 2, 22) (dual of [(8406, 2), 16720, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(792, 5604, F7, 3, 22) (dual of [(5604, 3), 16720, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(792, 1528, F7, 22, 22) (dual of [(1528, 22), 33524, 23]-NRT-code) | [i] | OA Folding and Stacking | |