Information on Result #657177

Linear OA(259, 29, F25, 8) (dual of [29, 20, 9]-code), using construction X applied to AG(F, Q+7P) ⊂ AG(F, Q+8P) based on
  1. linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)), using algebraic-geometric code AG(F, Q+7P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
  2. linear OA(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)), using algebraic-geometric code AG(F, Q+8P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
  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(2542, 655, F25, 17) (dual of [655, 613, 18]-code) [i](u, u+v)-Construction
2Linear OA(2558, 15655, F25, 17) (dual of [15655, 15597, 18]-code) [i]
3Linear OA(2574, 390655, F25, 17) (dual of [390655, 390581, 18]-code) [i]
4Linear OA(2540, 654, F25, 16) (dual of [654, 614, 17]-code) [i]
5Linear OA(2555, 15654, F25, 16) (dual of [15654, 15599, 17]-code) [i]
6Linear OA(2570, 390654, F25, 16) (dual of [390654, 390584, 17]-code) [i]
7Linear OA(2542, 657, F25, 17) (dual of [657, 615, 18]-code) [i]
8Linear OA(2543, 660, F25, 17) (dual of [660, 617, 18]-code) [i]
9Linear OA(2559, 15662, F25, 17) (dual of [15662, 15603, 18]-code) [i]
10Linear OA(2540, 657, F25, 16) (dual of [657, 617, 17]-code) [i]
11Linear OA(2541, 660, F25, 16) (dual of [660, 619, 17]-code) [i]
12Linear OA(2555, 15657, F25, 16) (dual of [15657, 15602, 17]-code) [i]
13Linear OA(2556, 15661, F25, 16) (dual of [15661, 15605, 17]-code) [i]
14Linear OA(2596, 15683, F25, 26) (dual of [15683, 15587, 27]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(2570, 682, F25, 25) (dual of [682, 612, 26]-code) [i]
16Linear OA(2594, 15682, F25, 25) (dual of [15682, 15588, 26]-code) [i]
17Linear OA(2595, 15684, F25, 25) (dual of [15684, 15589, 26]-code) [i]
18Linear OA(2592, 15683, F25, 24) (dual of [15683, 15591, 25]-code) [i]
19Linear OA(2547, 681, F25, 17) (dual of [681, 634, 18]-code) [i]
20Linear OA(2563, 15681, F25, 17) (dual of [15681, 15618, 18]-code) [i]
21Linear OA(2564, 15684, F25, 17) (dual of [15684, 15620, 18]-code) [i]
22Linear OA(2579, 390681, F25, 17) (dual of [390681, 390602, 18]-code) [i]
23Linear OA(2580, 390684, F25, 17) (dual of [390684, 390604, 18]-code) [i]
24Linear OA(2560, 15680, F25, 16) (dual of [15680, 15620, 17]-code) [i]
25Linear OA(2575, 390680, F25, 16) (dual of [390680, 390605, 17]-code) [i]
26Linear OA(25106, 655, F25, 48) (dual of [655, 549, 49]-code) [i]Construction X with Cyclic Codes
27Linear OA(25102, 655, F25, 46) (dual of [655, 553, 47]-code) [i]
28Linear OA(2598, 655, F25, 44) (dual of [655, 557, 45]-code) [i]
29Linear OA(2594, 655, F25, 42) (dual of [655, 561, 43]-code) [i]
30Linear OA(2590, 655, F25, 40) (dual of [655, 565, 41]-code) [i]
31Linear OA(2586, 655, F25, 38) (dual of [655, 569, 39]-code) [i]
32Linear OA(2582, 655, F25, 36) (dual of [655, 573, 37]-code) [i]
33Linear OA(2578, 655, F25, 34) (dual of [655, 577, 35]-code) [i]
34Linear OA(2574, 655, F25, 32) (dual of [655, 581, 33]-code) [i]
35Linear OA(2570, 655, F25, 30) (dual of [655, 585, 31]-code) [i]
36Linear OA(2566, 655, F25, 28) (dual of [655, 589, 29]-code) [i]
37Linear OA(2562, 655, F25, 26) (dual of [655, 593, 27]-code) [i]
38Linear OA(2558, 655, F25, 24) (dual of [655, 597, 25]-code) [i]
39Linear OA(2554, 655, F25, 22) (dual of [655, 601, 23]-code) [i]
40Linear OA(2550, 655, F25, 20) (dual of [655, 605, 21]-code) [i]
41Linear OA(2581, 658, F25, 36) (dual of [658, 577, 37]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes