Information on Result #2248688
Linear OA(7108, 117648, F7, 21) (dual of [117648, 117540, 22]-code), using 1 times truncation based on linear OA(7109, 117649, F7, 22) (dual of [117649, 117540, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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(7108, 75899, F7, 2, 21) (dual of [(75899, 2), 151690, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7108, 75899, F7, 3, 21) (dual of [(75899, 3), 227589, 22]-NRT-code) | [i] | ||
| 3 | Digital (87, 108, 75899)-net over F7 | [i] | ||
| 4 | Linear OOA(7108, 58824, F7, 2, 21) (dual of [(58824, 2), 117540, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7108, 39216, F7, 3, 21) (dual of [(39216, 3), 117540, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(7108, 11764, F7, 21, 21) (dual of [(11764, 21), 246936, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |