MinT - Information on Result #634954

Information on Result #634954

Linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using concatenation of two codes based on

linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reedâ€“Solomon code RS_e(2,4) [i]
- Simplex code S(2,4) [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(4⁸⁴, 90, F₄, 62) (dual of [90, 6, 63]-code)	[i]	Strength Reduction
2	Linear OA(4⁸⁵, 91, F₄, 63) (dual of [91, 6, 64]-code)	[i]	Code Embedding in Larger Space
3	Linear OA(4⁸⁶, 92, F₄, 63) (dual of [92, 6, 64]-code)	[i]	Code Embedding in Larger Space
4	Linear OA(4⁸³, 89, F₄, 62) (dual of [89, 6, 63]-code)	[i]	Truncation
5	Linear OA(4⁸², 88, F₄, 61) (dual of [88, 6, 62]-code)	[i]
6	Linear OA(4⁸¹, 87, F₄, 60) (dual of [87, 6, 61]-code)	[i]
7	Linear OA(4⁸⁰, 86, F₄, 59) (dual of [86, 6, 60]-code)	[i]
8	Linear OA(4⁷⁸, 84, F₄, 57) (dual of [84, 6, 58]-code)	[i]
9	Linear OA(4⁷⁷, 83, F₄, 56) (dual of [83, 6, 57]-code)	[i]
10	Linear OA(4¹⁷³, 178, F₄, 127) (dual of [178, 5, 128]-code)	[i]	Repeating Each Code Word
11	Linear OA(4⁹⁵, 101, F₄, 68) (dual of [101, 6, 69]-code)	[i]	Juxtaposition
12	Linear OA(4⁹⁶, 102, F₄, 69) (dual of [102, 6, 70]-code)	[i]
13	Linear OA(4¹³², 138, F₄, 94) (dual of [138, 6, 95]-code)	[i]
14	Linear OA(4¹³³, 139, F₄, 95) (dual of [139, 6, 96]-code)	[i]
15	Linear OA(4¹³⁴, 140, F₄, 96) (dual of [140, 6, 97]-code)	[i]
16	Linear OA(4¹³⁵, 141, F₄, 97) (dual of [141, 6, 98]-code)	[i]
17	Linear OA(4¹³⁶, 142, F₄, 98) (dual of [142, 6, 99]-code)	[i]
18	Linear OA(4¹⁴⁰, 146, F₄, 100) (dual of [146, 6, 101]-code)	[i]
19	Linear OA(4¹⁴¹, 147, F₄, 101) (dual of [147, 6, 102]-code)	[i]
20	Linear OA(4¹⁴², 148, F₄, 102) (dual of [148, 6, 103]-code)	[i]
21	Linear OA(4¹⁴³, 149, F₄, 103) (dual of [149, 6, 104]-code)	[i]
22	Linear OA(4¹⁴⁴, 150, F₄, 104) (dual of [150, 6, 105]-code)	[i]
23	Linear OA(4¹⁴⁵, 151, F₄, 105) (dual of [151, 6, 106]-code)	[i]
24	Linear OA(4¹⁴⁶, 152, F₄, 106) (dual of [152, 6, 107]-code)	[i]
25	Linear OA(4¹⁴⁷, 153, F₄, 107) (dual of [153, 6, 108]-code)	[i]
26	Linear OA(4¹⁵⁰, 156, F₄, 108) (dual of [156, 6, 109]-code)	[i]
27	Linear OA(4¹⁵¹, 157, F₄, 109) (dual of [157, 6, 110]-code)	[i]
28	Linear OA(4¹⁵², 158, F₄, 110) (dual of [158, 6, 111]-code)	[i]
29	Linear OA(4⁹⁴, 99, F₄, 68) (dual of [99, 5, 69]-code)	[i]
30	Linear OA(4⁹⁵, 100, F₄, 69) (dual of [100, 5, 70]-code)	[i]
31	Linear OA(4⁹⁷, 102, F₄, 70) (dual of [102, 5, 71]-code)	[i]
32	Linear OA(4⁹⁸, 103, F₄, 71) (dual of [103, 5, 72]-code)	[i]
33	Linear OA(4¹³³, 138, F₄, 96) (dual of [138, 5, 97]-code)	[i]
34	Linear OA(4¹³⁴, 139, F₄, 97) (dual of [139, 5, 98]-code)	[i]
35	Linear OA(4¹³⁵, 140, F₄, 98) (dual of [140, 5, 99]-code)	[i]
36	Linear OA(4¹³⁶, 141, F₄, 99) (dual of [141, 5, 100]-code)	[i]
37	Linear OA(4¹⁴³, 148, F₄, 104) (dual of [148, 5, 105]-code)	[i]
38	Linear OA(4¹⁴⁴, 149, F₄, 105) (dual of [149, 5, 106]-code)	[i]
39	Linear OA(4¹⁴⁵, 150, F₄, 106) (dual of [150, 5, 107]-code)	[i]
40	Linear OA(4¹⁴⁶, 151, F₄, 107) (dual of [151, 5, 108]-code)	[i]
41	Linear OA(4¹⁴⁹, 154, F₄, 108) (dual of [154, 5, 109]-code)	[i]
42	Linear OA(4¹⁵⁰, 155, F₄, 109) (dual of [155, 5, 110]-code)	[i]
43	Linear OA(4¹⁵¹, 156, F₄, 110) (dual of [156, 5, 111]-code)	[i]
44	Linear OA(4¹⁵⁵, 160, F₄, 112) (dual of [160, 5, 113]-code)	[i]
45	Linear OA(4¹⁵⁶, 161, F₄, 113) (dual of [161, 5, 114]-code)	[i]
46	Linear OA(4¹⁵⁷, 162, F₄, 114) (dual of [162, 5, 115]-code)	[i]
47	Linear OA(4¹⁵⁸, 163, F₄, 115) (dual of [163, 5, 116]-code)	[i]
48	Linear OA(4¹⁶⁵, 170, F₄, 120) (dual of [170, 5, 121]-code)	[i]
49	Linear OA(4¹⁶⁶, 171, F₄, 121) (dual of [171, 5, 122]-code)	[i]
50	Linear OA(4¹⁶⁷, 172, F₄, 122) (dual of [172, 5, 123]-code)	[i]
51	Linear OA(4¹⁶⁸, 173, F₄, 123) (dual of [173, 5, 124]-code)	[i]
52	Linear OA(4¹⁵², 157, F₄, 111) (dual of [157, 5, 112]-code)	[i]
53	Linear OA(4¹⁵³, 159, F₄, 111) (dual of [159, 6, 112]-code)	[i]
54	Linear OA(4¹⁵⁹, 165, F₄, 116) (dual of [165, 6, 117]-code)	[i]
55	Linear OA(4¹⁶⁰, 166, F₄, 117) (dual of [166, 6, 118]-code)	[i]
56	Linear OA(4¹⁶¹, 167, F₄, 118) (dual of [167, 6, 119]-code)	[i]
57	Linear OA(4¹⁶², 168, F₄, 119) (dual of [168, 6, 120]-code)	[i]
58	Linear OA(2²⁵⁷, 267, F₂, 127) (dual of [267, 10, 128]-code)	[i]	Concatenation of Two Codes
59	Linear OOA(4⁸⁴, 45, F₄, 2, 63) (dual of [(45, 2), 6, 64]-NRT-code)	[i]	OOA Folding
60	Linear OOA(4⁸⁴, 30, F₄, 3, 63) (dual of [(30, 3), 6, 64]-NRT-code)	[i]	OOA Folding