Information on Result #684748
Linear OA(781, 16812, F7, 19) (dual of [16812, 16731, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 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 OA(795, 16862, F7, 19) (dual of [16862, 16767, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(781, 8406, F7, 2, 19) (dual of [(8406, 2), 16731, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(781, 5604, F7, 3, 19) (dual of [(5604, 3), 16731, 20]-NRT-code) | [i] | ||