Information on Result #723486

Linear OA(2549, 624, F25, 26) (dual of [624, 575, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2564, 667, F25, 26) (dual of [667, 603, 27]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2563, 664, F25, 26) (dual of [664, 601, 27]-code) [i]
3Linear OA(2562, 661, F25, 26) (dual of [661, 599, 27]-code) [i]
4Linear OA(2561, 658, F25, 26) (dual of [658, 597, 27]-code) [i]
5Linear OA(2565, 659, F25, 28) (dual of [659, 594, 29]-code) [i]
6Linear OA(2564, 657, F25, 28) (dual of [657, 593, 29]-code) [i]
7Linear OA(2562, 654, F25, 28) (dual of [654, 592, 29]-code) [i]
8Linear OA(2568, 662, F25, 29) (dual of [662, 594, 30]-code) [i]
9Linear OA(2567, 660, F25, 29) (dual of [660, 593, 30]-code) [i]
10Linear OA(2565, 657, F25, 29) (dual of [657, 592, 30]-code) [i]
11Linear OA(2571, 665, F25, 30) (dual of [665, 594, 31]-code) [i]
12Linear OA(2570, 663, F25, 30) (dual of [663, 593, 31]-code) [i]
13Linear OA(2568, 660, F25, 30) (dual of [660, 592, 31]-code) [i]
14Linear OA(2574, 668, F25, 31) (dual of [668, 594, 32]-code) [i]
15Linear OA(2573, 666, F25, 31) (dual of [666, 593, 32]-code) [i]
16Linear OA(2571, 663, F25, 31) (dual of [663, 592, 32]-code) [i]
17Linear OA(2577, 671, F25, 32) (dual of [671, 594, 33]-code) [i]
18Linear OA(2576, 669, F25, 32) (dual of [669, 593, 33]-code) [i]
19Linear OA(2574, 666, F25, 32) (dual of [666, 592, 33]-code) [i]
20Linear OA(2580, 674, F25, 33) (dual of [674, 594, 34]-code) [i]
21Linear OA(2579, 672, F25, 33) (dual of [672, 593, 34]-code) [i]
22Linear OA(2577, 669, F25, 33) (dual of [669, 592, 34]-code) [i]
23Linear OA(2583, 677, F25, 34) (dual of [677, 594, 35]-code) [i]
24Linear OA(2582, 675, F25, 34) (dual of [675, 593, 35]-code) [i]
25Linear OA(2586, 678, F25, 35) (dual of [678, 592, 36]-code) [i]
26Linear OA(2580, 672, F25, 34) (dual of [672, 592, 35]-code) [i]
27Linear OA(2586, 680, F25, 35) (dual of [680, 594, 36]-code) [i]
28Linear OA(2585, 678, F25, 35) (dual of [678, 593, 36]-code) [i]
29Linear OA(2583, 675, F25, 35) (dual of [675, 592, 36]-code) [i]
30Linear OA(2589, 682, F25, 36) (dual of [682, 593, 37]-code) [i]
31Linear OA(2579, 654, F25, 37) (dual of [654, 575, 38]-code) [i]
32Linear OA(2584, 659, F25, 38) (dual of [659, 575, 39]-code) [i]
33Linear OA(2583, 657, F25, 38) (dual of [657, 574, 39]-code) [i]
34Linear OA(2582, 657, F25, 38) (dual of [657, 575, 39]-code) [i]
35Linear OA(2587, 662, F25, 39) (dual of [662, 575, 40]-code) [i]
36Linear OA(2586, 660, F25, 39) (dual of [660, 574, 40]-code) [i]
37Linear OA(2585, 657, F25, 39) (dual of [657, 572, 40]-code) [i]
38Linear OA(2585, 660, F25, 39) (dual of [660, 575, 40]-code) [i]
39Linear OA(2590, 665, F25, 40) (dual of [665, 575, 41]-code) [i]
40Linear OA(2589, 663, F25, 40) (dual of [663, 574, 41]-code) [i]
41Linear OA(2588, 660, F25, 40) (dual of [660, 572, 41]-code) [i]
42Linear OA(2588, 663, F25, 40) (dual of [663, 575, 41]-code) [i]
43Linear OA(2593, 668, F25, 41) (dual of [668, 575, 42]-code) [i]
44Linear OA(2592, 666, F25, 41) (dual of [666, 574, 42]-code) [i]
45Linear OA(2591, 663, F25, 41) (dual of [663, 572, 42]-code) [i]
46Linear OA(2591, 666, F25, 41) (dual of [666, 575, 42]-code) [i]
47Linear OA(2596, 671, F25, 42) (dual of [671, 575, 43]-code) [i]
48Linear OA(2595, 669, F25, 42) (dual of [669, 574, 43]-code) [i]
49Linear OA(2594, 666, F25, 42) (dual of [666, 572, 43]-code) [i]
50Linear OA(2594, 669, F25, 42) (dual of [669, 575, 43]-code) [i]
51Linear OA(2599, 674, F25, 43) (dual of [674, 575, 44]-code) [i]
52Linear OA(2598, 672, F25, 43) (dual of [672, 574, 44]-code) [i]
53Linear OA(2597, 669, F25, 43) (dual of [669, 572, 44]-code) [i]
54Linear OA(2597, 672, F25, 43) (dual of [672, 575, 44]-code) [i]
55Linear OA(25102, 677, F25, 44) (dual of [677, 575, 45]-code) [i]
56Linear OA(25101, 675, F25, 44) (dual of [675, 574, 45]-code) [i]
57Linear OA(25100, 672, F25, 44) (dual of [672, 572, 45]-code) [i]
58Linear OA(25100, 675, F25, 44) (dual of [675, 575, 45]-code) [i]
59Linear OA(25105, 680, F25, 45) (dual of [680, 575, 46]-code) [i]
60Linear OA(25104, 678, F25, 45) (dual of [678, 574, 46]-code) [i]
61Linear OA(25103, 675, F25, 45) (dual of [675, 572, 46]-code) [i]
62Linear OA(25108, 680, F25, 46) (dual of [680, 572, 47]-code) [i]
63Linear OA(25107, 678, F25, 46) (dual of [678, 571, 47]-code) [i]
64Linear OA(25109, 684, F25, 46) (dual of [684, 575, 47]-code) [i]
65Linear OA(25108, 682, F25, 46) (dual of [682, 574, 47]-code) [i]
66Linear OOA(2549, 312, F25, 2, 26) (dual of [(312, 2), 575, 27]-NRT-code) [i]OOA Folding