Information on Result #686235
Linear OA(8113, 2097159, F8, 19) (dual of [2097159, 2097046, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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 OA(8128, 2097223, F8, 19) (dual of [2097223, 2097095, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(8113, 1048579, F8, 2, 19) (dual of [(1048579, 2), 2097045, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8113, 699053, F8, 3, 19) (dual of [(699053, 3), 2097046, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(8113, 233017, F8, 19, 19) (dual of [(233017, 19), 4427210, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |