Information on Result #684570
Linear OA(7105, 823577, F7, 17) (dual of [823577, 823472, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
- linear OA(799, 823543, F7, 17) (dual of [823543, 823444, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(771, 823543, F7, 12) (dual of [823543, 823472, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(76, 34, F7, 4) (dual of [34, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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(7105, 774385, F7, 2, 17) (dual of [(774385, 2), 1548665, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7105, 774385, F7, 3, 17) (dual of [(774385, 3), 2323050, 18]-NRT-code) | [i] | ||
| 3 | Digital (88, 105, 774385)-net over F7 | [i] | ||
| 4 | Linear OOA(7105, 411788, F7, 2, 17) (dual of [(411788, 2), 823471, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7105, 274525, F7, 3, 17) (dual of [(274525, 3), 823470, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(7105, 102947, F7, 17, 17) (dual of [(102947, 17), 1749994, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |