MinT - Information on Result #736686

Information on Result #736686

Linear OA(8⁵⁰, 57, F₈, 42) (dual of [57, 7, 43]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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(8⁵⁰, 57, F₈, 41) (dual of [57, 7, 42]-code)	[i]	Strength Reduction
2	Linear OA(8⁵¹, 58, F₈, 42) (dual of [58, 7, 43]-code)	[i]	Code Embedding in Larger Space
3	Linear OA(8⁴⁹, 56, F₈, 41) (dual of [56, 7, 42]-code)	[i]	Truncation
4	Linear OA(8⁴⁸, 55, F₈, 40) (dual of [55, 7, 41]-code)	[i]
5	Linear OA(8⁴⁷, 54, F₈, 39) (dual of [54, 7, 40]-code)	[i]
6	Linear OA(8⁴⁶, 53, F₈, 38) (dual of [53, 7, 39]-code)	[i]
7	Linear OA(8⁴⁵, 52, F₈, 37) (dual of [52, 7, 38]-code)	[i]
8	Linear OA(8⁴⁴, 51, F₈, 36) (dual of [51, 7, 37]-code)	[i]
9	Linear OA(8⁴³, 50, F₈, 35) (dual of [50, 7, 36]-code)	[i]
10	Linear OA(8⁴², 49, F₈, 34) (dual of [49, 7, 35]-code)	[i]
11	Linear OA(8⁴¹, 48, F₈, 33) (dual of [48, 7, 34]-code)	[i]
12	Linear OA(8⁴⁰, 47, F₈, 32) (dual of [47, 7, 33]-code)	[i]
13	Linear OA(8³⁹, 46, F₈, 31) (dual of [46, 7, 32]-code)	[i]
14	Linear OA(8³⁸, 45, F₈, 30) (dual of [45, 7, 31]-code)	[i]
15	Linear OA(8³⁷, 44, F₈, 29) (dual of [44, 7, 30]-code)	[i]
16	Linear OA(8³⁶, 43, F₈, 28) (dual of [43, 7, 29]-code)	[i]
17	Linear OA(8³⁵, 42, F₈, 27) (dual of [42, 7, 28]-code)	[i]
18	Linear OA(8¹⁴⁸, 155, F₈, 116) (dual of [155, 7, 117]-code)	[i]	Juxtaposition
19	Linear OA(8¹⁵⁴, 161, F₈, 121) (dual of [161, 7, 122]-code)	[i]
20	Linear OA(8¹⁶⁷, 174, F₈, 133) (dual of [174, 7, 134]-code)	[i]
21	Linear OA(8¹⁷⁰, 177, F₈, 134) (dual of [177, 7, 135]-code)	[i]
22	Linear OA(8¹²³, 129, F₈, 100) (dual of [129, 6, 101]-code)	[i]
23	Linear OA(8¹²⁶, 133, F₈, 100) (dual of [133, 7, 101]-code)	[i]
24	Linear OA(8¹⁵⁶, 163, F₈, 123) (dual of [163, 7, 124]-code)	[i]
25	Linear OA(8¹⁶⁸, 175, F₈, 134) (dual of [175, 7, 135]-code)	[i]
26	Linear OA(8¹⁶⁷, 173, F₈, 138) (dual of [173, 6, 139]-code)	[i]
27	Linear OA(8¹⁶⁶, 171, F₈, 138) (dual of [171, 5, 139]-code)	[i]
28	Linear OA(8¹⁵⁵, 162, F₈, 123) (dual of [162, 7, 124]-code)	[i]
29	Linear OOA(8⁵⁰, 28, F₈, 2, 42) (dual of [(28, 2), 6, 43]-NRT-code)	[i]	OOA Folding
30	Linear OOA(8⁵⁰, 19, F₈, 3, 42) (dual of [(19, 3), 7, 43]-NRT-code)	[i]	OOA Folding