Information on Result #684576
Linear OA(770, 823577, F7, 11) (dual of [823577, 823507, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- 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(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(770, 823577, F7, 2, 11) (dual of [(823577, 2), 1647084, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(770, 823577, F7, 3, 11) (dual of [(823577, 3), 2470661, 12]-NRT-code) | [i] | ||
| 3 | Digital (59, 70, 823577)-net over F7 | [i] | ||
| 4 | Linear OOA(770, 411788, F7, 2, 11) (dual of [(411788, 2), 823506, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(770, 274525, F7, 3, 11) (dual of [(274525, 3), 823505, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(770, 164715, F7, 11, 11) (dual of [(164715, 11), 1811795, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |