Information on Result #605623

Linear OA(257, 8, F25, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,25)), using dual of repetition code with length 8

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(25105, 657, F25, 39) (dual of [657, 552, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(2581, 649, F25, 31) (dual of [649, 568, 32]-code) [i]
3Linear OA(25108, 15649, F25, 30) (dual of [15649, 15541, 31]-code) [i]
4Linear OA(2565, 650, F25, 23) (dual of [650, 585, 24]-code) [i]
5Linear OA(2587, 15650, F25, 23) (dual of [15650, 15563, 24]-code) [i]
6Linear OA(25109, 390650, F25, 23) (dual of [390650, 390541, 24]-code) [i]
7Linear OA(2584, 15649, F25, 22) (dual of [15649, 15565, 23]-code) [i]
8Linear OA(25105, 390649, F25, 22) (dual of [390649, 390544, 23]-code) [i]
9Linear OA(2558, 641, F25, 22) (dual of [641, 583, 23]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(2579, 15641, F25, 22) (dual of [15641, 15562, 23]-code) [i]
11Linear OA(25100, 390641, F25, 22) (dual of [390641, 390541, 23]-code) [i]
12Linear OA(2536, 634, F25, 15) (dual of [634, 598, 16]-code) [i]Construction X with Cyclic Codes
13Linear OA(2550, 15634, F25, 15) (dual of [15634, 15584, 16]-code) [i]
14Linear OA(2564, 390634, F25, 15) (dual of [390634, 390570, 16]-code) [i]
15Linear OA(2540, 634, F25, 17) (dual of [634, 594, 18]-code) [i]
16Linear OA(2566, 71, F25, 47) (dual of [71, 5, 48]-code) [i]
17Linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code) [i]Construction X4 with Cyclic Codes
18Linear OA(2514, 15634, F25, 5) (dual of [15634, 15620, 6]-code) [i]
19Linear OA(2517, 15633, F25, 6) (dual of [15633, 15616, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
20Linear OA(2511, 15633, F25, 4) (dual of [15633, 15622, 5]-code) [i]