Information on Result #694717

Linear OA(2549, 52, F25, 47) (dual of [52, 3, 48]-code), using contraction based on linear OA(25101, 104, F25, 95) (dual of [104, 3, 96]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 252−1, defining interval I = [0,86], and minimum distance d ≥ |{−8,−7,…,86}|+1 = 96 (BCH-bound) [i]

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OA(2549, 52, F25, 46) (dual of [52, 3, 47]-code) [i]Strength Reduction
2Linear OA(2548, 51, F25, 46) (dual of [51, 3, 47]-code) [i]Truncation
3Linear OA(2546, 49, F25, 44) (dual of [49, 3, 45]-code) [i]
4Linear OA(2544, 47, F25, 42) (dual of [47, 3, 43]-code) [i]
5Linear OA(2543, 46, F25, 41) (dual of [46, 3, 42]-code) [i]
6Linear OA(2542, 45, F25, 40) (dual of [45, 3, 41]-code) [i]
7Linear OA(2541, 44, F25, 39) (dual of [44, 3, 40]-code) [i]
8Linear OA(2540, 43, F25, 38) (dual of [43, 3, 39]-code) [i]
9Linear OA(2539, 42, F25, 37) (dual of [42, 3, 38]-code) [i]
10Linear OA(2538, 41, F25, 36) (dual of [41, 3, 37]-code) [i]
11Linear OA(2537, 40, F25, 35) (dual of [40, 3, 36]-code) [i]
12Linear OA(2536, 39, F25, 34) (dual of [39, 3, 35]-code) [i]
13Linear OA(2535, 38, F25, 33) (dual of [38, 3, 34]-code) [i]
14Linear OA(2534, 37, F25, 32) (dual of [37, 3, 33]-code) [i]
15Linear OA(2533, 36, F25, 31) (dual of [36, 3, 32]-code) [i]
16Linear OA(2532, 35, F25, 30) (dual of [35, 3, 31]-code) [i]
17Linear OA(2531, 34, F25, 29) (dual of [34, 3, 30]-code) [i]
18Linear OA(2530, 33, F25, 28) (dual of [33, 3, 29]-code) [i]
19Linear OA(2529, 32, F25, 27) (dual of [32, 3, 28]-code) [i]
20Linear OA(2528, 31, F25, 26) (dual of [31, 3, 27]-code) [i]
21Linear OA(2554, 57, F25, 51) (dual of [57, 3, 52]-code) [i]Construction X with Cyclic Codes