Information on Result #684519
Linear OA(7106, 823550, F7, 18) (dual of [823550, 823444, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(7106, 823543, F7, 18) (dual of [823543, 823437, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(799, 823543, F7, 17) (dual of [823543, 823444, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(7106, 411775, F7, 2, 18) (dual of [(411775, 2), 823444, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7106, 274516, F7, 3, 18) (dual of [(274516, 3), 823442, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(7106, 91505, F7, 18, 18) (dual of [(91505, 18), 1646984, 19]-NRT-code) | [i] | OA Folding and Stacking | |