Information on Result #661831

Linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using (u, u+v)-construction based on
  1. linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
  2. linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2260, 2089, F2, 45) (dual of [2089, 1829, 46]-code) [i]Construction X with Cyclic Codes
2Linear OA(2238, 2089, F2, 41) (dual of [2089, 1851, 42]-code) [i]
3Linear OA(2216, 2089, F2, 37) (dual of [2089, 1873, 38]-code) [i]
4Linear OA(2258, 1065, F2, 49) (dual of [1065, 807, 50]-code) [i]
5Linear OA(2238, 1065, F2, 45) (dual of [1065, 827, 46]-code) [i]
6Linear OA(2218, 1065, F2, 41) (dual of [1065, 847, 42]-code) [i]
7Linear OA(2198, 1065, F2, 37) (dual of [1065, 867, 38]-code) [i]
8Linear OA(2138, 295, F2, 33) (dual of [295, 157, 34]-code) [i]
9Linear OA(2175, 303, F2, 46) (dual of [303, 128, 47]-code) [i]Construction XX with Cyclic Codes
10Linear OA(2245, 292, F2, 94) (dual of [292, 47, 95]-code) [i]
11Linear OA(2260, 307, F2, 97) (dual of [307, 47, 98]-code) [i]
12Linear OA(2257, 304, F2, 96) (dual of [304, 47, 97]-code) [i]
13Linear OA(2257, 302, F2, 98) (dual of [302, 45, 99]-code) [i]
14Linear OA(2172, 561, F2, 36) (dual of [561, 389, 37]-code) [i]
15Linear OA(2181, 561, F2, 38) (dual of [561, 380, 39]-code) [i]
16Linear OA(2190, 561, F2, 40) (dual of [561, 371, 41]-code) [i]
17Linear OA(2204, 575, F2, 42) (dual of [575, 371, 43]-code) [i]
18Linear OA(2232, 564, F2, 51) (dual of [564, 332, 52]-code) [i]
19Linear OA(2235, 561, F2, 52) (dual of [561, 326, 53]-code) [i]
20Linear OA(2244, 561, F2, 54) (dual of [561, 317, 55]-code) [i]
21Linear OA(2249, 575, F2, 54) (dual of [575, 326, 55]-code) [i]
22Linear OA(2253, 561, F2, 56) (dual of [561, 308, 57]-code) [i]
23Linear OA(2258, 575, F2, 56) (dual of [575, 317, 57]-code) [i]
24Linear OA(2243, 552, F2, 55) (dual of [552, 309, 56]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(2234, 552, F2, 53) (dual of [552, 318, 54]-code) [i]
26Linear OA(2225, 552, F2, 51) (dual of [552, 327, 52]-code) [i]
27Linear OA(2180, 552, F2, 39) (dual of [552, 372, 40]-code) [i]
28Linear OA(2171, 552, F2, 37) (dual of [552, 381, 38]-code) [i]
29Linear OA(2162, 552, F2, 35) (dual of [552, 390, 36]-code) [i]
30Linear OA(2244, 291, F2, 93) (dual of [291, 47, 94]-code) [i]
31Linear OA(2186, 293, F2, 53) (dual of [293, 107, 54]-code) [i]
32Linear OA(2182, 296, F2, 51) (dual of [296, 114, 52]-code) [i]
33Linear OA(2174, 296, F2, 47) (dual of [296, 122, 48]-code) [i]
34Linear OA(2166, 296, F2, 45) (dual of [296, 130, 46]-code) [i]
35Linear OA(2142, 296, F2, 35) (dual of [296, 154, 36]-code) [i]
36Linear OA(2247, 294, F2, 95) (dual of [294, 47, 96]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
37Linear OA(2246, 292, F2, 95) (dual of [292, 46, 96]-code) [i]
38Linear OA(2153, 294, F2, 39) (dual of [294, 141, 40]-code) [i]
39Linear OA(2152, 292, F2, 39) (dual of [292, 140, 40]-code) [i]
40Linear OA(2145, 294, F2, 37) (dual of [294, 149, 38]-code) [i]
41Linear OA(2144, 292, F2, 37) (dual of [292, 148, 38]-code) [i]