Information on Result #609412

Linear OA(211, 15, F2, 7) (dual of [15, 4, 8]-code), using Simplex code S(4,2)

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(2251, 255, F2, 135) (dual of [255, 4, 136]-code) [i]Repeating Each Code Word
2Linear OA(2236, 240, F2, 127) (dual of [240, 4, 128]-code) [i]
3Linear OA(2221, 225, F2, 119) (dual of [225, 4, 120]-code) [i]
4Linear OA(2206, 210, F2, 111) (dual of [210, 4, 112]-code) [i]
5Linear OA(2191, 195, F2, 103) (dual of [195, 4, 104]-code) [i]
6Linear OA(2176, 180, F2, 95) (dual of [180, 4, 96]-code) [i]
7Linear OA(2161, 165, F2, 87) (dual of [165, 4, 88]-code) [i]
8Linear OA(2146, 150, F2, 79) (dual of [150, 4, 80]-code) [i]
9Linear OA(2131, 135, F2, 71) (dual of [135, 4, 72]-code) [i]
10Linear OA(2116, 120, F2, 63) (dual of [120, 4, 64]-code) [i]
11Linear OA(2101, 105, F2, 55) (dual of [105, 4, 56]-code) [i]
12Linear OA(286, 90, F2, 47) (dual of [90, 4, 48]-code) [i]
13Linear OA(271, 75, F2, 39) (dual of [75, 4, 40]-code) [i]
14Linear OA(256, 60, F2, 31) (dual of [60, 4, 32]-code) [i]
15Linear OA(241, 45, F2, 23) (dual of [45, 4, 24]-code) [i]
16Linear OA(2142, 150, F2, 71) (dual of [150, 8, 72]-code) [i]Concatenation of Two Codes
17Linear OA(2157, 165, F2, 79) (dual of [165, 8, 80]-code) [i]
18Linear OA(2209, 225, F2, 95) (dual of [225, 16, 96]-code) [i]
19Linear OA(2198, 210, F2, 95) (dual of [210, 12, 96]-code) [i]
20Linear OA(2224, 240, F2, 103) (dual of [240, 16, 104]-code) [i]
21Linear OA(2213, 225, F2, 103) (dual of [225, 12, 104]-code) [i]
22Linear OA(2228, 240, F2, 111) (dual of [240, 12, 112]-code) [i]
23Linear OA(2258, 270, F2, 127) (dual of [270, 12, 128]-code) [i]
24Linear OA(2258, 271, F2, 127) (dual of [271, 13, 128]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(2147, 166, F2, 63) (dual of [166, 19, 64]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(2146, 164, F2, 63) (dual of [164, 18, 64]-code) [i]
27Linear OA(274, 93, F2, 27) (dual of [93, 19, 28]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
28Linear OA(273, 91, F2, 27) (dual of [91, 18, 28]-code) [i]
29Linear OA(2147, 165, F2, 63) (dual of [165, 18, 64]-code) [i]
30Linear OA(2140, 158, F2, 59) (dual of [158, 18, 60]-code) [i]
31Linear OA(2136, 154, F2, 57) (dual of [154, 18, 58]-code) [i]
32Linear OA(2146, 163, F2, 63) (dual of [163, 17, 64]-code) [i]
33Linear OA(2139, 156, F2, 59) (dual of [156, 17, 60]-code) [i]
34Linear OA(2135, 152, F2, 57) (dual of [152, 17, 58]-code) [i]
35Linear OA(2139, 158, F2, 58) (dual of [158, 19, 59]-code) [i]
36Linear OA(2135, 154, F2, 56) (dual of [154, 19, 57]-code) [i]
37Linear OA(2138, 156, F2, 58) (dual of [156, 18, 59]-code) [i]
38Linear OA(2134, 152, F2, 56) (dual of [152, 18, 57]-code) [i]
39Linear OA(2169, 214, F2, 56) (dual of [214, 45, 57]-code) [i]Construction X with VarÅ¡amov Bound
40Linear OA(2217, 271, F2, 72) (dual of [271, 54, 73]-code) [i]
41Linear OA(2218, 273, F2, 72) (dual of [273, 55, 73]-code) [i]
42Linear OOA(211, 5, F2, 3, 7) (dual of [(5, 3), 4, 8]-NRT-code) [i]OOA Folding