MinT - Information on Result #714901

Information on Result #714901

Linear OA(8⁷⁰, 511, F₈, 27) (dual of [511, 441, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511Â = 8³âˆ’1, defining interval IÂ =Â [0,26], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28

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

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8⁷⁰, 438, F₈, 2, 27) (dual of [(438, 2), 806, 28]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁷⁰, 438, F₈, 3, 27) (dual of [(438, 3), 1244, 28]-NRT-code)	[i]
3	Digital (43, 70, 438)-net over F₈	[i]
4	Linear OA(8¹³⁸, 578, F₈, 43) (dual of [578, 440, 44]-code)	[i]	✔	ConstructionÂ X with Cyclic Codes
5	Linear OA(8¹³⁹, 580, F₈, 43) (dual of [580, 441, 44]-code)	[i]	✔	ConstructionÂ X with Cyclic Codes
6	Linear OA(8⁷⁸, 525, F₈, 29) (dual of [525, 447, 30]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
7	Linear OA(8⁷³, 517, F₈, 28) (dual of [517, 444, 29]-code)	[i]	✔
8	Linear OA(8⁸², 527, F₈, 30) (dual of [527, 445, 31]-code)	[i]	✔
9	Linear OA(8⁷⁷, 521, F₈, 29) (dual of [521, 444, 30]-code)	[i]	✔
10	Linear OA(8¹¹¹, 567, F₈, 35) (dual of [567, 456, 36]-code)	[i]	✔
11	Linear OA(8¹⁰⁸, 557, F₈, 35) (dual of [557, 449, 36]-code)	[i]	✔
12	Linear OA(8⁸⁷, 534, F₈, 31) (dual of [534, 447, 32]-code)	[i]	✔
13	Linear OA(8⁸¹, 523, F₈, 30) (dual of [523, 442, 31]-code)	[i]	✔
14	Linear OA(8¹¹⁵, 568, F₈, 36) (dual of [568, 453, 37]-code)	[i]	✔
15	Linear OA(8¹¹⁰, 563, F₈, 35) (dual of [563, 453, 36]-code)	[i]	✔
16	Linear OA(8⁸⁶, 530, F₈, 31) (dual of [530, 444, 32]-code)	[i]	✔
17	Linear OA(8¹⁰⁸, 558, F₈, 35) (dual of [558, 450, 36]-code)	[i]	✔
18	Linear OA(8⁹¹, 535, F₈, 32) (dual of [535, 444, 33]-code)	[i]	✔
19	Linear OA(8¹⁰⁵, 552, F₈, 35) (dual of [552, 447, 36]-code)	[i]	✔
20	Linear OA(8¹⁰⁴, 547, F₈, 35) (dual of [547, 443, 36]-code)	[i]	✔
21	Linear OA(8¹⁰³, 545, F₈, 35) (dual of [545, 442, 36]-code)	[i]	✔
22	Linear OA(8¹⁰², 542, F₈, 35) (dual of [542, 440, 36]-code)	[i]	✔
23	Linear OA(8¹⁰⁴, 548, F₈, 35) (dual of [548, 444, 36]-code)	[i]	✔
24	Linear OA(8⁷⁶, 517, F₈, 29) (dual of [517, 441, 30]-code)	[i]	✔
25	Linear OA(8⁸⁰, 521, F₈, 30) (dual of [521, 441, 31]-code)	[i]	✔
26	Linear OA(8⁸⁴, 523, F₈, 31) (dual of [523, 439, 32]-code)	[i]	✔
27	Linear OA(8⁸⁹, 530, F₈, 32) (dual of [530, 441, 33]-code)	[i]	✔
28	Linear OA(8¹⁰⁷, 548, F₈, 36) (dual of [548, 441, 37]-code)	[i]	✔
29	Linear OA(8⁸⁴, 525, F₈, 31) (dual of [525, 441, 32]-code)	[i]	✔
30	Linear OA(8⁸⁸, 527, F₈, 32) (dual of [527, 439, 33]-code)	[i]	✔
31	Linear OA(8¹¹¹, 552, F₈, 37) (dual of [552, 441, 38]-code)	[i]	✔
32	Linear OA(8¹⁰⁹, 545, F₈, 37) (dual of [545, 436, 38]-code)	[i]	✔
33	Linear OA(8¹⁰⁸, 542, F₈, 37) (dual of [542, 434, 38]-code)	[i]	✔
34	Linear OA(8¹¹³, 547, F₈, 38) (dual of [547, 434, 39]-code)	[i]	✔
35	Linear OA(8¹²⁰, 561, F₈, 39) (dual of [561, 441, 40]-code)	[i]	✔
36	Linear OA(8¹¹⁷, 551, F₈, 39) (dual of [551, 434, 40]-code)	[i]	✔
37	Linear OA(8¹¹⁷, 558, F₈, 39) (dual of [558, 441, 40]-code)	[i]	✔
38	Linear OA(8¹²⁶, 567, F₈, 41) (dual of [567, 441, 42]-code)	[i]	✔
39	Linear OA(8¹²⁴, 565, F₈, 40) (dual of [565, 441, 41]-code)	[i]	✔
40	Linear OA(8¹²⁵, 562, F₈, 41) (dual of [562, 437, 42]-code)	[i]	✔
41	Linear OA(8¹²³, 557, F₈, 41) (dual of [557, 434, 42]-code)	[i]	✔
42	Linear OA(8¹³⁰, 568, F₈, 42) (dual of [568, 438, 43]-code)	[i]	✔
43	Linear OA(8¹³⁸, 579, F₈, 43) (dual of [579, 441, 44]-code)	[i]	✔