Information on Result #611355

Linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(2145, 512, F2, 34) (dual of [512, 367, 35]-code) [i]Strength Reduction
2Linear OA(2146, 513, F2, 35) (dual of [513, 367, 36]-code) [i]Code Embedding in Larger Space
3Linear OA(2147, 514, F2, 35) (dual of [514, 367, 36]-code) [i]
4Linear OA(2143, 510, F2, 33) (dual of [510, 367, 34]-code) [i]Truncation
5Linear OA(2142, 509, F2, 32) (dual of [509, 367, 33]-code) [i]
6Linear OA(2162, 530, F2, 35) (dual of [530, 368, 36]-code) [i](u, u+v)-Construction
7Linear OA(2155, 522, F2, 37) (dual of [522, 367, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(2146, 522, F2, 33) (dual of [522, 376, 34]-code) [i]✔
9Linear OA(2148, 516, F2, 35) (dual of [516, 368, 36]-code) [i]✔
10Linear OA(2149, 520, F2, 35) (dual of [520, 371, 36]-code) [i]✔
11Linear OA(2150, 526, F2, 35) (dual of [526, 376, 36]-code) [i]✔
12Linear OA(2168, 528, F2, 39) (dual of [528, 360, 40]-code) [i]✔
13Linear OA(2169, 536, F2, 39) (dual of [536, 367, 40]-code) [i]✔
14Linear OA(2155, 534, F2, 35) (dual of [534, 379, 36]-code) [i]✔
15Linear OA(2156, 541, F2, 35) (dual of [541, 385, 36]-code) [i]✔
16Linear OA(2183, 545, F2, 41) (dual of [545, 362, 42]-code) [i]✔
17Linear OA(2185, 552, F2, 41) (dual of [552, 367, 42]-code) [i]✔
18Linear OA(2162, 552, F2, 35) (dual of [552, 390, 36]-code) [i]✔
19Linear OA(2163, 557, F2, 35) (dual of [557, 394, 36]-code) [i]✔
20Linear OA(2156, 545, F2, 33) (dual of [545, 389, 34]-code) [i]✔
21Linear OA(2158, 552, F2, 33) (dual of [552, 394, 34]-code) [i]✔
22Linear OA(2199, 560, F2, 43) (dual of [560, 361, 44]-code) [i]✔
23Linear OA(2200, 567, F2, 43) (dual of [567, 367, 44]-code) [i]✔
24Linear OA(2215, 577, F2, 45) (dual of [577, 362, 46]-code) [i]✔
25Linear OA(2155, 536, F2, 35) (dual of [536, 381, 36]-code) [i]✔
26Linear OA(2162, 555, F2, 35) (dual of [555, 393, 36]-code) [i]✔
27Linear OA(2162, 556, F2, 35) (dual of [556, 394, 36]-code) [i]✔
28Linear OA(2184, 547, F2, 41) (dual of [547, 363, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(2182, 543, F2, 41) (dual of [543, 361, 42]-code) [i]✔
30Linear OA(2181, 541, F2, 41) (dual of [541, 360, 42]-code) [i]✔
31Linear OA(2168, 529, F2, 39) (dual of [529, 361, 40]-code) [i]✔
32Linear OA(2167, 527, F2, 39) (dual of [527, 360, 40]-code) [i]✔
33Linear OA(2180, 553, F2, 39) (dual of [553, 373, 40]-code) [i]✔
34Linear OA(2179, 551, F2, 39) (dual of [551, 372, 40]-code) [i]✔
35Linear OA(2177, 548, F2, 39) (dual of [548, 371, 40]-code) [i]✔
36Linear OA(2176, 546, F2, 39) (dual of [546, 370, 40]-code) [i]✔
37Linear OA(2175, 544, F2, 39) (dual of [544, 369, 40]-code) [i]✔
38Linear OA(2163, 534, F2, 37) (dual of [534, 371, 38]-code) [i]✔
39Linear OA(2162, 532, F2, 37) (dual of [532, 370, 38]-code) [i]✔
40Linear OA(2161, 530, F2, 37) (dual of [530, 369, 38]-code) [i]✔
41Linear OA(2153, 531, F2, 35) (dual of [531, 378, 36]-code) [i]✔
42Linear OA(2149, 527, F2, 33) (dual of [527, 378, 34]-code) [i]✔
43Linear OA(2157, 547, F2, 33) (dual of [547, 390, 34]-code) [i]✔
44Linear OA(2161, 550, F2, 35) (dual of [550, 389, 36]-code) [i]✔
45Linear OA(2160, 548, F2, 35) (dual of [548, 388, 36]-code) [i]✔
46Linear OA(2155, 543, F2, 33) (dual of [543, 388, 34]-code) [i]✔
47Linear OA(2159, 546, F2, 35) (dual of [546, 387, 36]-code) [i]✔
48Linear OA(2154, 541, F2, 33) (dual of [541, 387, 34]-code) [i]✔
49Linear OOA(2145, 256, F2, 2, 35) (dual of [(256, 2), 367, 36]-NRT-code) [i]OOA Folding
50Linear OOA(2145, 128, F2, 4, 35) (dual of [(128, 4), 367, 36]-NRT-code) [i]