Information on Result #2279088
Linear OA(754, 2406, F7, 16) (dual of [2406, 2352, 17]-code), using 1 times code embedding in larger space based on linear OA(753, 2405, F7, 16) (dual of [2405, 2352, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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(754, 1586, F7, 2, 16) (dual of [(1586, 2), 3118, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(754, 1586, F7, 3, 16) (dual of [(1586, 3), 4704, 17]-NRT-code) | [i] | ||
| 3 | Digital (38, 54, 1586)-net over F7 | [i] | ||
| 4 | Linear OOA(754, 1203, F7, 2, 16) (dual of [(1203, 2), 2352, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(754, 802, F7, 3, 16) (dual of [(802, 3), 2352, 17]-NRT-code) | [i] | ||