Information on Result #684571
Linear OA(798, 823577, F7, 16) (dual of [823577, 823479, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(798, 722144, F7, 2, 16) (dual of [(722144, 2), 1444190, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(798, 722144, F7, 3, 16) (dual of [(722144, 3), 2166334, 17]-NRT-code) | [i] | ||
| 3 | Digital (82, 98, 722144)-net over F7 | [i] | ||
| 4 | Linear OOA(798, 411788, F7, 2, 16) (dual of [(411788, 2), 823478, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(798, 274525, F7, 3, 16) (dual of [(274525, 3), 823477, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(798, 102947, F7, 16, 16) (dual of [(102947, 16), 1647054, 17]-NRT-code) | [i] | OA Folding and Stacking | |