MinT - Information on Result #2196821

Information on Result #2196821

Linear OA(3²¹², 244, F₃, 118) (dual of [244, 32, 119]-code), using strength reduction based on linear OA(3²¹², 244, F₃, 122) (dual of [244, 32, 123]-code), using

constructionÂ X applied to C_e(121) âŠ‚ C_e(120) [i] based on
1. linear OA(3²¹², 243, F₃, 122) (dual of [243, 31, 123]-code), using an extension C_e(121) of the primitive narrow-sense BCH-code C(I) with length 242Â = 3⁵âˆ’1, defining interval IÂ =Â [1,121], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 122 [i]
2. linear OA(3²¹¹, 243, F₃, 121) (dual of [243, 32, 122]-code), using an extension C_e(120) of the primitive narrow-sense BCH-code C(I) with length 242Â = 3⁵âˆ’1, defining interval IÂ =Â [1,120], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 121 [i]
3. linear OA(3⁰, 1, F₃, 0) (dual of [1, 1, 1]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁰, s, F₃, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
    - OA with only one run / dual of code without redundancy [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OA(3²⁰⁹, 241, F₃, 115) (dual of [241, 32, 116]-code)	[i]	Truncation
2	Linear OA(3²⁰⁸, 240, F₃, 114) (dual of [240, 32, 115]-code)	[i]
3	Linear OA(3²⁰⁷, 239, F₃, 113) (dual of [239, 32, 114]-code)	[i]
4	Linear OA(3²⁰⁶, 238, F₃, 112) (dual of [238, 32, 113]-code)	[i]
5	Linear OA(3²⁰⁵, 237, F₃, 111) (dual of [237, 32, 112]-code)	[i]
6	Linear OA(3²⁰⁴, 236, F₃, 110) (dual of [236, 32, 111]-code)	[i]
7	Linear OA(3²⁰³, 235, F₃, 109) (dual of [235, 32, 110]-code)	[i]
8	Linear OA(3²⁰², 234, F₃, 108) (dual of [234, 32, 109]-code)	[i]
9	Linear OA(3²⁰¹, 233, F₃, 107) (dual of [233, 32, 108]-code)	[i]
10	Linear OA(3²⁰⁰, 232, F₃, 106) (dual of [232, 32, 107]-code)	[i]
11	Linear OA(3¹⁹⁹, 231, F₃, 105) (dual of [231, 32, 106]-code)	[i]
12	Linear OA(3¹⁹⁸, 230, F₃, 104) (dual of [230, 32, 105]-code)	[i]
13	Linear OA(3¹⁹⁷, 229, F₃, 103) (dual of [229, 32, 104]-code)	[i]
14	Linear OA(3¹⁹⁶, 228, F₃, 102) (dual of [228, 32, 103]-code)	[i]
15	Linear OA(3¹⁹⁵, 227, F₃, 101) (dual of [227, 32, 102]-code)	[i]
16	Linear OA(3¹⁹⁴, 226, F₃, 100) (dual of [226, 32, 101]-code)	[i]
17	Linear OA(3¹⁹³, 225, F₃, 99) (dual of [225, 32, 100]-code)	[i]
18	Linear OA(3¹⁹², 224, F₃, 98) (dual of [224, 32, 99]-code)	[i]
19	Linear OA(3¹⁹¹, 223, F₃, 97) (dual of [223, 32, 98]-code)	[i]
20	Linear OA(3¹⁹⁰, 222, F₃, 96) (dual of [222, 32, 97]-code)	[i]
21	Linear OA(3¹⁸⁹, 221, F₃, 95) (dual of [221, 32, 96]-code)	[i]
22	Linear OA(3¹⁸⁸, 220, F₃, 94) (dual of [220, 32, 95]-code)	[i]
23	Linear OA(3¹⁸⁷, 219, F₃, 93) (dual of [219, 32, 94]-code)	[i]
24	Linear OA(3¹⁸⁶, 218, F₃, 92) (dual of [218, 32, 93]-code)	[i]
25	Linear OA(3¹⁸⁵, 217, F₃, 91) (dual of [217, 32, 92]-code)	[i]
26	Linear OA(3¹⁸⁴, 216, F₃, 90) (dual of [216, 32, 91]-code)	[i]
27	Linear OA(3¹⁸³, 215, F₃, 89) (dual of [215, 32, 90]-code)	[i]
28	Linear OA(3¹⁸², 214, F₃, 88) (dual of [214, 32, 89]-code)	[i]
29	Linear OA(3¹⁸¹, 213, F₃, 87) (dual of [213, 32, 88]-code)	[i]
30	Linear OA(3¹⁸⁰, 212, F₃, 86) (dual of [212, 32, 87]-code)	[i]
31	Linear OA(3¹⁷⁹, 211, F₃, 85) (dual of [211, 32, 86]-code)	[i]
32	Linear OA(3¹⁷⁸, 210, F₃, 84) (dual of [210, 32, 85]-code)	[i]
33	Linear OA(3¹⁷⁷, 209, F₃, 83) (dual of [209, 32, 84]-code)	[i]
34	Linear OA(3¹⁷⁶, 208, F₃, 82) (dual of [208, 32, 83]-code)	[i]
35	Linear OA(3¹⁷⁵, 207, F₃, 81) (dual of [207, 32, 82]-code)	[i]
36	Linear OA(3¹⁷⁴, 206, F₃, 80) (dual of [206, 32, 81]-code)	[i]
37	Linear OA(3¹⁷³, 205, F₃, 79) (dual of [205, 32, 80]-code)	[i]
38	Linear OA(3¹⁷², 204, F₃, 78) (dual of [204, 32, 79]-code)	[i]
39	Linear OA(3¹⁷¹, 203, F₃, 77) (dual of [203, 32, 78]-code)	[i]
40	Linear OA(3¹⁷⁰, 202, F₃, 76) (dual of [202, 32, 77]-code)	[i]
41	Linear OA(3¹⁶⁹, 201, F₃, 75) (dual of [201, 32, 76]-code)	[i]