Information on Result #684544
Linear OA(779, 823558, F7, 13) (dual of [823558, 823479, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(779, 804216, F7, 2, 13) (dual of [(804216, 2), 1608353, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(779, 804216, F7, 3, 13) (dual of [(804216, 3), 2412569, 14]-NRT-code) | [i] | ||
| 3 | Digital (66, 79, 804216)-net over F7 | [i] | ||
| 4 | Linear OOA(779, 411779, F7, 2, 13) (dual of [(411779, 2), 823479, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(779, 274519, F7, 3, 13) (dual of [(274519, 3), 823478, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(779, 137259, F7, 13, 13) (dual of [(137259, 13), 1784288, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |