Information on Result #684772
Linear OA(794, 16820, F7, 22) (dual of [16820, 16726, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) 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(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(73, 13, F7, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-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(794, 11760, F7, 2, 22) (dual of [(11760, 2), 23426, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(794, 11760, F7, 3, 22) (dual of [(11760, 3), 35186, 23]-NRT-code) | [i] | ||
| 3 | Digital (72, 94, 11760)-net over F7 | [i] | ||
| 4 | Linear OOA(794, 8410, F7, 2, 22) (dual of [(8410, 2), 16726, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(794, 5606, F7, 3, 22) (dual of [(5606, 3), 16724, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(794, 1529, F7, 22, 22) (dual of [(1529, 22), 33544, 23]-NRT-code) | [i] | OA Folding and Stacking | |