Information on Result #684642
Linear OA(768, 117662, F7, 13) (dual of [117662, 117594, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(71, 13, F7, 1) (dual of [13, 12, 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(768, 114883, F7, 2, 13) (dual of [(114883, 2), 229698, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(768, 114883, F7, 3, 13) (dual of [(114883, 3), 344581, 14]-NRT-code) | [i] | ||
| 3 | Digital (55, 68, 114883)-net over F7 | [i] | ||
| 4 | Linear OOA(768, 58831, F7, 2, 13) (dual of [(58831, 2), 117594, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(768, 19610, F7, 13, 13) (dual of [(19610, 13), 254862, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |