Information on Result #684953
Linear OA(741, 2405, F7, 12) (dual of [2405, 2364, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(737, 2401, F7, 11) (dual of [2401, 2364, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(743, 2413, F7, 12) (dual of [2413, 2370, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(744, 2452, F7, 12) (dual of [2452, 2408, 13]-code) | [i] | ||
| 3 | Linear OA(745, 2591, F7, 12) (dual of [2591, 2546, 13]-code) | [i] | ||
| 4 | Linear OOA(741, 1202, F7, 2, 12) (dual of [(1202, 2), 2363, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(741, 801, F7, 3, 12) (dual of [(801, 3), 2362, 13]-NRT-code) | [i] | ||