Information on Result #686052
Linear OA(718, 51, F7, 11) (dual of [51, 33, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(718, 49, F7, 11) (dual of [49, 31, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(716, 49, F7, 10) (dual of [49, 33, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7106, 393, F7, 34) (dual of [393, 287, 35]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(7109, 393, F7, 35) (dual of [393, 284, 36]-code) | [i] | ||
| 3 | Linear OOA(718, 17, F7, 3, 11) (dual of [(17, 3), 33, 12]-NRT-code) | [i] | OOA Folding | |