Information on Result #684955
Linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(729, 2401, F7, 9) (dual of [2401, 2372, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(735, 2413, F7, 10) (dual of [2413, 2378, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(736, 2446, F7, 10) (dual of [2446, 2410, 11]-code) | [i] | ||
| 3 | Linear OA(737, 2554, F7, 10) (dual of [2554, 2517, 11]-code) | [i] | ||
| 4 | Linear OOA(733, 1202, F7, 2, 10) (dual of [(1202, 2), 2371, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(733, 801, F7, 3, 10) (dual of [(801, 3), 2370, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(733, 481, F7, 10, 10) (dual of [(481, 10), 4777, 11]-NRT-code) | [i] | OA Folding and Stacking | |