Information on Result #684814
Linear OA(7107, 16833, F7, 24) (dual of [16833, 16726, 25]-code), using construction X applied to Ce(23) ⊂ Ce(18) based on
- linear OA(7101, 16807, F7, 24) (dual of [16807, 16706, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(76, 26, F7, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), 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(7107, 16833, F7, 2, 24) (dual of [(16833, 2), 33559, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7107, 16833, F7, 3, 24) (dual of [(16833, 3), 50392, 25]-NRT-code) | [i] | ||
| 3 | Digital (83, 107, 16833)-net over F7 | [i] | ||
| 4 | Linear OOA(7107, 8416, F7, 2, 24) (dual of [(8416, 2), 16725, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7107, 5611, F7, 3, 24) (dual of [(5611, 3), 16726, 25]-NRT-code) | [i] | ||