Information on Result #685100
Linear OA(762, 2419, F7, 17) (dual of [2419, 2357, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(12) ⊂ Ce(11) based on
- linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(74, 17, F7, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,7)), using
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(762, 1209, F7, 2, 17) (dual of [(1209, 2), 2356, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(762, 806, F7, 3, 17) (dual of [(806, 3), 2356, 18]-NRT-code) | [i] | ||