Information on Result #685008
Linear OA(733, 2417, F7, 9) (dual of [2417, 2384, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- 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(717, 2401, F7, 5) (dual of [2401, 2384, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), 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(733, 1208, F7, 2, 9) (dual of [(1208, 2), 2383, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(733, 805, F7, 3, 9) (dual of [(805, 3), 2382, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(733, 604, F7, 9, 9) (dual of [(604, 9), 5403, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |