Information on Result #685317
Linear OA(747, 350, F7, 18) (dual of [350, 303, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(746, 343, F7, 18) (dual of [343, 297, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(740, 343, F7, 16) (dual of [343, 303, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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(747, 296, F7, 2, 18) (dual of [(296, 2), 545, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(747, 296, F7, 3, 18) (dual of [(296, 3), 841, 19]-NRT-code) | [i] | ||
| 3 | Digital (29, 47, 296)-net over F7 | [i] | ||