Information on Result #710810

Linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(577, 574, F5, 2, 24) (dual of [(574, 2), 1071, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(577, 574, F5, 3, 24) (dual of [(574, 3), 1645, 25]-NRT-code) [i]
3Digital (53, 77, 574)-net over F5 [i]
4Linear OA(5105, 652, F5, 31) (dual of [652, 547, 32]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(581, 632, F5, 25) (dual of [632, 551, 26]-code) [i]✔Construction XX with Cyclic Codes
6Linear OA(5105, 653, F5, 31) (dual of [653, 548, 32]-code) [i]✔
7Linear OA(5127, 673, F5, 35) (dual of [673, 546, 36]-code) [i]✔
8Linear OA(5126, 672, F5, 35) (dual of [672, 546, 36]-code) [i]✔
9Linear OA(5141, 687, F5, 38) (dual of [687, 546, 39]-code) [i]✔