Information on Result #694713

Linear OA(25110, 113, F25, 103) (dual of [113, 3, 104]-code), using construction X applied to C([0,90]) ⊂ C([0,86]) based on
  1. linear OA(25103, 104, F25, 103) (dual of [104, 1, 104]-code or 104-arc in PG(102,25)), using the expurgated narrow-sense BCH-code C(I) with length 104 | 252−1, defining interval I = [0,90], and minimum distance d ≥ |{2,17,32,…,−28}|+1 = 104 (BCH-bound) [i]
  2. 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]
  3. linear OA(257, 9, F25, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,25)), 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:

ResultThis
result
only		Method
1Linear OA(25109, 112, F25, 102) (dual of [112, 3, 103]-code) [i]Truncation
2Linear OA(25108, 111, F25, 101) (dual of [111, 3, 102]-code) [i]
3Linear OA(25107, 110, F25, 100) (dual of [110, 3, 101]-code) [i]
4Linear OA(25106, 109, F25, 99) (dual of [109, 3, 100]-code) [i]
5Linear OA(25105, 108, F25, 98) (dual of [108, 3, 99]-code) [i]
6Linear OA(25102, 105, F25, 95) (dual of [105, 3, 96]-code) [i]
7Linear OA(25100, 103, F25, 93) (dual of [103, 3, 94]-code) [i]
8Linear OA(2599, 102, F25, 92) (dual of [102, 3, 93]-code) [i]
9Linear OA(2598, 101, F25, 91) (dual of [101, 3, 92]-code) [i]
10Linear OA(2596, 99, F25, 89) (dual of [99, 3, 90]-code) [i]
11Linear OA(2595, 98, F25, 88) (dual of [98, 3, 89]-code) [i]
12Linear OA(2594, 97, F25, 87) (dual of [97, 3, 88]-code) [i]
13Linear OA(2592, 95, F25, 85) (dual of [95, 3, 86]-code) [i]
14Linear OA(2591, 94, F25, 84) (dual of [94, 3, 85]-code) [i]
15Linear OA(2589, 92, F25, 82) (dual of [92, 3, 83]-code) [i]