Information on Result #684683
Linear OA(7102, 117696, F7, 18) (dual of [117696, 117594, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(711, 47, F7, 6) (dual of [47, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-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 OA(7103, 117697, F7, 18) (dual of [117697, 117594, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(7102, 58848, F7, 2, 18) (dual of [(58848, 2), 117594, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7102, 39232, F7, 3, 18) (dual of [(39232, 3), 117594, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(7102, 13077, F7, 18, 18) (dual of [(13077, 18), 235284, 19]-NRT-code) | [i] | OA Folding and Stacking | |