Information on Result #684949
Linear OA(753, 2405, F7, 16) (dual of [2405, 2352, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) 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 OA(754, 2406, F7, 16) (dual of [2406, 2352, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(756, 2413, F7, 16) (dual of [2413, 2357, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(757, 2426, F7, 16) (dual of [2426, 2369, 17]-code) | [i] | ||
| 4 | Linear OA(758, 2459, F7, 16) (dual of [2459, 2401, 17]-code) | [i] | ||
| 5 | Linear OA(759, 2537, F7, 16) (dual of [2537, 2478, 17]-code) | [i] | ||
| 6 | Linear OA(760, 2700, F7, 16) (dual of [2700, 2640, 17]-code) | [i] | ||
| 7 | Linear OA(761, 2975, F7, 16) (dual of [2975, 2914, 17]-code) | [i] | ||
| 8 | Linear OOA(753, 1202, F7, 2, 16) (dual of [(1202, 2), 2351, 17]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(753, 801, F7, 3, 16) (dual of [(801, 3), 2350, 17]-NRT-code) | [i] | ||