MinT - Information on Result #609963

Information on Result #609963

Linear OA(2¹⁸⁷, 189, F₂, 125) (dual of [189, 2, 126]-code), using repeating each code word 63 times based on linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using

discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- parity-check code [i]

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:

	Result		Method
1	Linear OA(2¹⁸⁷, 189, F₂, 124) (dual of [189, 2, 125]-code)	[i]	Strength Reduction
2	Linear OA(2¹⁸⁷, 189, F₂, 123) (dual of [189, 2, 124]-code)	[i]
3	Linear OA(2¹⁸⁷, 189, F₂, 122) (dual of [189, 2, 123]-code)	[i]
4	Linear OA(2¹⁸⁷, 189, F₂, 121) (dual of [189, 2, 122]-code)	[i]
5	Linear OA(2¹⁸⁷, 189, F₂, 120) (dual of [189, 2, 121]-code)	[i]
6	Linear OA(2¹⁸⁷, 189, F₂, 119) (dual of [189, 2, 120]-code)	[i]
7	Linear OA(2¹⁸⁷, 189, F₂, 118) (dual of [189, 2, 119]-code)	[i]
8	Linear OA(2¹⁸⁷, 189, F₂, 117) (dual of [189, 2, 118]-code)	[i]
9	Linear OA(2¹⁸⁷, 189, F₂, 116) (dual of [189, 2, 117]-code)	[i]
10	Linear OA(2¹⁸⁷, 189, F₂, 115) (dual of [189, 2, 116]-code)	[i]
11	Linear OA(2¹⁸⁷, 189, F₂, 114) (dual of [189, 2, 115]-code)	[i]
12	Linear OA(2¹⁸⁷, 189, F₂, 113) (dual of [189, 2, 114]-code)	[i]
13	Linear OA(2¹⁸⁷, 189, F₂, 112) (dual of [189, 2, 113]-code)	[i]
14	Linear OA(2¹⁸⁷, 189, F₂, 111) (dual of [189, 2, 112]-code)	[i]
15	Linear OA(2¹⁸⁷, 189, F₂, 110) (dual of [189, 2, 111]-code)	[i]
16	Linear OA(2¹⁸⁷, 189, F₂, 109) (dual of [189, 2, 110]-code)	[i]
17	Linear OA(2¹⁸⁷, 189, F₂, 108) (dual of [189, 2, 109]-code)	[i]
18	Linear OA(2¹⁸⁶, 188, F₂, 124) (dual of [188, 2, 125]-code)	[i]	Truncation
19	Linear OA(2¹⁸⁵, 187, F₂, 123) (dual of [187, 2, 124]-code)	[i]
20	Linear OA(2¹⁸³, 185, F₂, 121) (dual of [185, 2, 122]-code)	[i]
21	Linear OA(2¹⁸², 184, F₂, 120) (dual of [184, 2, 121]-code)	[i]
22	Linear OA(2¹⁸⁰, 182, F₂, 118) (dual of [182, 2, 119]-code)	[i]
23	Linear OA(2¹⁷⁹, 181, F₂, 117) (dual of [181, 2, 118]-code)	[i]
24	Linear OA(2¹⁷⁷, 179, F₂, 115) (dual of [179, 2, 116]-code)	[i]
25	Linear OA(2¹⁷⁶, 178, F₂, 114) (dual of [178, 2, 115]-code)	[i]
26	Linear OA(2¹⁷⁴, 176, F₂, 112) (dual of [176, 2, 113]-code)	[i]
27	Linear OA(2¹⁷³, 175, F₂, 111) (dual of [175, 2, 112]-code)	[i]
28	Linear OA(2¹⁷¹, 173, F₂, 109) (dual of [173, 2, 110]-code)	[i]
29	Linear OA(2¹⁷⁰, 172, F₂, 108) (dual of [172, 2, 109]-code)	[i]
30	Linear OA(2¹⁶⁸, 170, F₂, 106) (dual of [170, 2, 107]-code)	[i]
31	Linear OA(2¹⁶⁷, 169, F₂, 105) (dual of [169, 2, 106]-code)	[i]
32	Linear OA(2¹⁶⁵, 167, F₂, 103) (dual of [167, 2, 104]-code)	[i]
33	Linear OA(2¹⁶⁴, 166, F₂, 102) (dual of [166, 2, 103]-code)	[i]
34	Linear OA(2¹⁶², 164, F₂, 100) (dual of [164, 2, 101]-code)	[i]
35	Linear OA(2¹⁶¹, 163, F₂, 99) (dual of [163, 2, 100]-code)	[i]
36	Linear OA(2¹⁵⁹, 161, F₂, 97) (dual of [161, 2, 98]-code)	[i]
37	Linear OA(2¹⁵⁸, 160, F₂, 96) (dual of [160, 2, 97]-code)	[i]
38	Linear OA(2¹⁵⁶, 158, F₂, 94) (dual of [158, 2, 95]-code)	[i]
39	Linear OA(2¹⁵⁵, 157, F₂, 93) (dual of [157, 2, 94]-code)	[i]
40	Linear OA(2¹⁵³, 155, F₂, 91) (dual of [155, 2, 92]-code)	[i]
41	Linear OA(2¹⁵², 154, F₂, 90) (dual of [154, 2, 91]-code)	[i]
42	Linear OA(2¹⁵⁰, 152, F₂, 88) (dual of [152, 2, 89]-code)	[i]
43	Linear OA(2¹⁴⁹, 151, F₂, 87) (dual of [151, 2, 88]-code)	[i]
44	Linear OA(2¹⁴⁷, 149, F₂, 85) (dual of [149, 2, 86]-code)	[i]
45	Linear OA(2¹⁴⁶, 148, F₂, 84) (dual of [148, 2, 85]-code)	[i]
46	Linear OOA(2¹⁸⁷, 63, F₂, 3, 125) (dual of [(63, 3), 2, 126]-NRT-code)	[i]	OOA Folding
47	Linear OOA(2¹⁸⁷, 27, F₂, 7, 125) (dual of [(27, 7), 2, 126]-NRT-code)	[i]	OOA Folding