Information on Result #685025
Linear OA(749, 2421, F7, 13) (dual of [2421, 2372, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-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(749, 1210, F7, 2, 13) (dual of [(1210, 2), 2371, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(749, 807, F7, 3, 13) (dual of [(807, 3), 2372, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(749, 403, F7, 13, 13) (dual of [(403, 13), 5190, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |