MinT - Information on Result #642400

Information on Result #642400

Linear OA(16¹³⁰, 133, F₁₆, 122) (dual of [133, 3, 123]-code), using juxtaposition based on

linear OA(16¹⁰, 13, F₁₆, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
  - Reedâ€“Solomon code RS(6,16) [i]
linear OA(16¹¹⁷, 120, F₁₆, 111) (dual of [120, 3, 112]-code), using
- Denniston code D(3,16) [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(16¹³⁰, 133, F₁₆, 121) (dual of [133, 3, 122]-code)	[i]	Strength Reduction
2	Linear OA(16¹²⁶, 129, F₁₆, 118) (dual of [129, 3, 119]-code)	[i]	Truncation
3	Linear OA(16¹²⁴, 127, F₁₆, 116) (dual of [127, 3, 117]-code)	[i]
4	Linear OA(16¹²², 125, F₁₆, 114) (dual of [125, 3, 115]-code)	[i]
5	Linear OA(16¹²¹, 124, F₁₆, 113) (dual of [124, 3, 114]-code)	[i]
6	Linear OA(16¹²⁰, 123, F₁₆, 112) (dual of [123, 3, 113]-code)	[i]
7	Linear OA(16¹¹⁹, 122, F₁₆, 111) (dual of [122, 3, 112]-code)	[i]
8	Linear OA(16¹¹⁸, 121, F₁₆, 110) (dual of [121, 3, 111]-code)	[i]
9	Linear OA(16¹¹⁶, 119, F₁₆, 108) (dual of [119, 3, 109]-code)	[i]
10	Linear OA(16¹¹⁵, 118, F₁₆, 107) (dual of [118, 3, 108]-code)	[i]
11	Linear OA(16¹¹⁴, 117, F₁₆, 106) (dual of [117, 3, 107]-code)	[i]
12	Linear OA(16¹¹³, 116, F₁₆, 105) (dual of [116, 3, 106]-code)	[i]
13	Linear OA(16¹¹², 115, F₁₆, 104) (dual of [115, 3, 105]-code)	[i]
14	Linear OA(16¹¹¹, 114, F₁₆, 103) (dual of [114, 3, 104]-code)	[i]
15	Linear OA(16¹¹⁰, 113, F₁₆, 102) (dual of [113, 3, 103]-code)	[i]
16	Linear OA(16¹⁰⁹, 112, F₁₆, 101) (dual of [112, 3, 102]-code)	[i]
17	Linear OA(16¹⁰⁸, 111, F₁₆, 100) (dual of [111, 3, 101]-code)	[i]
18	Linear OA(16¹⁰⁷, 110, F₁₆, 99) (dual of [110, 3, 100]-code)	[i]
19	Linear OA(16¹⁰⁶, 109, F₁₆, 98) (dual of [109, 3, 99]-code)	[i]
20	Linear OA(16¹⁰⁵, 108, F₁₆, 97) (dual of [108, 3, 98]-code)	[i]
21	Linear OA(16¹⁰⁴, 107, F₁₆, 96) (dual of [107, 3, 97]-code)	[i]
22	Linear OA(16¹⁰³, 106, F₁₆, 95) (dual of [106, 3, 96]-code)	[i]
23	Linear OA(16¹⁰¹, 104, F₁₆, 93) (dual of [104, 3, 94]-code)	[i]
24	Linear OA(16¹⁰⁰, 103, F₁₆, 92) (dual of [103, 3, 93]-code)	[i]
25	Linear OA(16⁹⁹, 102, F₁₆, 91) (dual of [102, 3, 92]-code)	[i]
26	Linear OA(16⁹⁸, 101, F₁₆, 90) (dual of [101, 3, 91]-code)	[i]
27	Linear OA(16⁹⁷, 100, F₁₆, 89) (dual of [100, 3, 90]-code)	[i]
28	Linear OA(16⁹⁶, 99, F₁₆, 88) (dual of [99, 3, 89]-code)	[i]
29	Linear OA(16⁹⁵, 98, F₁₆, 87) (dual of [98, 3, 88]-code)	[i]
30	Linear OA(16⁹⁴, 97, F₁₆, 86) (dual of [97, 3, 87]-code)	[i]
31	Linear OA(16⁹³, 96, F₁₆, 85) (dual of [96, 3, 86]-code)	[i]
32	Linear OA(16⁹², 95, F₁₆, 84) (dual of [95, 3, 85]-code)	[i]
33	Linear OA(16⁹¹, 94, F₁₆, 83) (dual of [94, 3, 84]-code)	[i]
34	Linear OA(16⁹⁰, 93, F₁₆, 82) (dual of [93, 3, 83]-code)	[i]
35	Linear OA(16⁸⁹, 92, F₁₆, 81) (dual of [92, 3, 82]-code)	[i]
36	Linear OA(16⁸⁸, 91, F₁₆, 80) (dual of [91, 3, 81]-code)	[i]
37	Linear OA(16⁸⁷, 90, F₁₆, 79) (dual of [90, 3, 80]-code)	[i]
38	Linear OA(16⁸⁶, 89, F₁₆, 78) (dual of [89, 3, 79]-code)	[i]
39	Linear OA(16⁸⁵, 88, F₁₆, 77) (dual of [88, 3, 78]-code)	[i]
40	Linear OA(16⁸⁴, 87, F₁₆, 76) (dual of [87, 3, 77]-code)	[i]
41	Linear OA(16⁸³, 86, F₁₆, 75) (dual of [86, 3, 76]-code)	[i]
42	Linear OA(16⁸², 85, F₁₆, 74) (dual of [85, 3, 75]-code)	[i]
43	Linear OOA(16¹³⁰, 66, F₁₆, 2, 122) (dual of [(66, 2), 2, 123]-NRT-code)	[i]	OOA Folding