Information on Result #614573

Linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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:

ResultThis
result
only		Method
1Linear OOA(7101, 1946, F7, 2, 30) (dual of [(1946, 2), 3791, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(7101, 1946, F7, 3, 30) (dual of [(1946, 3), 5737, 31]-NRT-code) [i]
3Digital (71, 101, 1946)-net over F7 [i]
4Linear OA(7105, 2405, F7, 31) (dual of [2405, 2300, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code) [i]✔
6Linear OA(7110, 2410, F7, 32) (dual of [2410, 2300, 33]-code) [i]✔
7Linear OA(7103, 2409, F7, 30) (dual of [2409, 2306, 31]-code) [i]✔
8Linear OA(7104, 2412, F7, 30) (dual of [2412, 2308, 31]-code) [i]✔
9Linear OA(7105, 2417, F7, 30) (dual of [2417, 2312, 31]-code) [i]✔
10Linear OA(7107, 2423, F7, 30) (dual of [2423, 2316, 31]-code) [i]✔
11Linear OA(7108, 2428, F7, 30) (dual of [2428, 2320, 31]-code) [i]✔
12Linear OA(7106, 2419, F7, 30) (dual of [2419, 2313, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(7110, 2432, F7, 30) (dual of [2432, 2322, 31]-code) [i]✔
14Linear OA(7109, 2430, F7, 30) (dual of [2430, 2321, 31]-code) [i]✔