Information on Result #611366

Linear OA(2154, 512, F2, 37) (dual of [512, 358, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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(2172, 531, F2, 37) (dual of [531, 359, 38]-code) [i](u, u+v)-Construction
2Linear OA(2164, 522, F2, 39) (dual of [522, 358, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2155, 522, F2, 37) (dual of [522, 367, 38]-code) [i]✔
4Linear OA(2177, 528, F2, 41) (dual of [528, 351, 42]-code) [i]✔
5Linear OA(2178, 536, F2, 41) (dual of [536, 358, 42]-code) [i]✔
6Linear OA(2164, 534, F2, 37) (dual of [534, 370, 38]-code) [i]✔
7Linear OA(2165, 541, F2, 37) (dual of [541, 376, 38]-code) [i]✔
8Linear OA(2192, 545, F2, 43) (dual of [545, 353, 44]-code) [i]✔
9Linear OA(2194, 552, F2, 43) (dual of [552, 358, 44]-code) [i]✔
10Linear OA(2171, 552, F2, 37) (dual of [552, 381, 38]-code) [i]✔
11Linear OA(2172, 557, F2, 37) (dual of [557, 385, 38]-code) [i]✔
12Linear OA(2208, 560, F2, 45) (dual of [560, 352, 46]-code) [i]✔
13Linear OA(2209, 567, F2, 45) (dual of [567, 358, 46]-code) [i]✔
14Linear OA(2224, 577, F2, 47) (dual of [577, 353, 48]-code) [i]✔
15Linear OA(2193, 547, F2, 43) (dual of [547, 354, 44]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(2191, 543, F2, 43) (dual of [543, 352, 44]-code) [i]✔
17Linear OA(2190, 541, F2, 43) (dual of [541, 351, 44]-code) [i]✔
18Linear OA(2177, 529, F2, 41) (dual of [529, 352, 42]-code) [i]✔
19Linear OA(2176, 527, F2, 41) (dual of [527, 351, 42]-code) [i]✔
20Linear OA(2184, 547, F2, 41) (dual of [547, 363, 42]-code) [i]✔
21Linear OA(2182, 543, F2, 41) (dual of [543, 361, 42]-code) [i]✔
22Linear OA(2181, 541, F2, 41) (dual of [541, 360, 42]-code) [i]✔
23Linear OA(2168, 529, F2, 39) (dual of [529, 361, 40]-code) [i]✔
24Linear OA(2167, 527, F2, 39) (dual of [527, 360, 40]-code) [i]✔
25Linear OA(2163, 534, F2, 37) (dual of [534, 371, 38]-code) [i]✔
26Linear OA(2162, 532, F2, 37) (dual of [532, 370, 38]-code) [i]✔
27Linear OA(2161, 530, F2, 37) (dual of [530, 369, 38]-code) [i]✔
28Linear OA(2170, 550, F2, 37) (dual of [550, 380, 38]-code) [i]✔
29Linear OA(2169, 548, F2, 37) (dual of [548, 379, 38]-code) [i]✔
30Linear OA(2168, 546, F2, 37) (dual of [546, 378, 38]-code) [i]✔
31Linear OOA(2154, 256, F2, 2, 37) (dual of [(256, 2), 358, 38]-NRT-code) [i]OOA Folding
32Linear OOA(2154, 128, F2, 4, 37) (dual of [(128, 4), 358, 38]-NRT-code) [i]