Information on Result #642779

Linear OA(257, 28, F25, 6) (dual of [28, 21, 7]-code), using construction X applied to RS(19,25) ⊂ RS(21,25) based on
  1. linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using Reed–Solomon code RS(19,25) [i]
  2. linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using Reed–Solomon code RS(21,25) [i]
  3. linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-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:

ResultThis
result
only		Method
1Linear OA(25110, 15653, F25, 36) (dual of [15653, 15543, 37]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(25107, 15653, F25, 35) (dual of [15653, 15546, 36]-code) [i]
3Linear OA(25104, 15653, F25, 34) (dual of [15653, 15549, 35]-code) [i]
4Linear OA(25101, 15653, F25, 33) (dual of [15653, 15552, 34]-code) [i]
5Linear OA(2577, 15653, F25, 24) (dual of [15653, 15576, 25]-code) [i]
6Linear OA(2574, 15653, F25, 23) (dual of [15653, 15579, 24]-code) [i]
7Linear OA(2571, 15653, F25, 22) (dual of [15653, 15582, 23]-code) [i]
8Linear OA(2568, 15653, F25, 21) (dual of [15653, 15585, 22]-code) [i]
9Linear OA(2565, 15653, F25, 20) (dual of [15653, 15588, 21]-code) [i]
10Linear OA(2562, 15653, F25, 19) (dual of [15653, 15591, 20]-code) [i]
11Linear OA(2559, 15653, F25, 18) (dual of [15653, 15594, 19]-code) [i]
12Linear OA(2556, 15653, F25, 17) (dual of [15653, 15597, 18]-code) [i]
13Linear OA(2553, 15653, F25, 16) (dual of [15653, 15600, 17]-code) [i]
14Linear OA(2550, 15653, F25, 15) (dual of [15653, 15603, 16]-code) [i]
15Linear OA(2547, 15653, F25, 14) (dual of [15653, 15606, 15]-code) [i]