MinT - Information on Result #710925

Information on Result #710925

Linear OA(5⁵⁷, 624, F₅, 18) (dual of [624, 567, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624Â = 5⁴âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19

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(5⁵⁷, 465, F₅, 2, 18) (dual of [(465, 2), 873, 19]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(5⁵⁷, 465, F₅, 3, 18) (dual of [(465, 3), 1338, 19]-NRT-code)	[i]
3	Digital (39, 57, 465)-net over F₅	[i]
4	Linear OA(5⁶⁸, 659, F₅, 18) (dual of [659, 591, 19]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
5	Linear OA(5⁶⁷, 642, F₅, 20) (dual of [642, 575, 21]-code)	[i]	✔
6	Linear OA(5⁶¹, 632, F₅, 19) (dual of [632, 571, 20]-code)	[i]	✔
7	Linear OA(5⁸⁴, 663, F₅, 23) (dual of [663, 579, 24]-code)	[i]	✔
8	Linear OA(5⁸³, 660, F₅, 23) (dual of [660, 577, 24]-code)	[i]	✔
9	Linear OA(5⁶⁶, 637, F₅, 20) (dual of [637, 571, 21]-code)	[i]	✔
10	Linear OA(5⁹⁰, 668, F₅, 24) (dual of [668, 578, 25]-code)	[i]	✔
11	Linear OA(5⁹⁵, 668, F₅, 25) (dual of [668, 573, 26]-code)	[i]	✔
12	Linear OA(5⁸¹, 656, F₅, 23) (dual of [656, 575, 24]-code)	[i]	✔
13	Linear OA(5⁸⁰, 653, F₅, 23) (dual of [653, 573, 24]-code)	[i]	✔
14	Linear OA(5⁸⁸, 663, F₅, 24) (dual of [663, 575, 25]-code)	[i]	✔
15	Linear OA(5⁸⁷, 661, F₅, 24) (dual of [661, 574, 25]-code)	[i]	✔
16	Linear OA(5⁸⁶, 657, F₅, 24) (dual of [657, 571, 25]-code)	[i]	✔
17	Linear OA(5⁸⁵, 654, F₅, 24) (dual of [654, 569, 25]-code)	[i]	✔
18	Linear OA(5⁷⁹, 648, F₅, 23) (dual of [648, 569, 24]-code)	[i]	✔
19	Linear OA(5⁹⁴, 668, F₅, 25) (dual of [668, 574, 26]-code)	[i]	✔
20	Linear OA(5⁹³, 664, F₅, 25) (dual of [664, 571, 26]-code)	[i]	✔
21	Linear OA(5⁹², 661, F₅, 25) (dual of [661, 569, 26]-code)	[i]	✔
22	Linear OA(5⁸⁴, 649, F₅, 24) (dual of [649, 565, 25]-code)	[i]	✔
23	Linear OA(5⁹¹, 656, F₅, 25) (dual of [656, 565, 26]-code)	[i]	✔
24	Linear OA(5⁶⁵, 632, F₅, 20) (dual of [632, 567, 21]-code)	[i]	✔
25	Linear OA(5⁸³, 648, F₅, 24) (dual of [648, 565, 25]-code)	[i]	✔
26	Linear OA(5⁸⁸, 655, F₅, 25) (dual of [655, 567, 26]-code)	[i]	✔
27	Linear OA(5⁹⁰, 655, F₅, 26) (dual of [655, 565, 27]-code)	[i]	✔
28	Linear OA(5⁹⁶, 663, F₅, 27) (dual of [663, 567, 28]-code)	[i]	✔
29	Linear OA(5⁹⁵, 660, F₅, 27) (dual of [660, 565, 28]-code)	[i]	✔
30	Linear OA(5¹⁰³, 670, F₅, 28) (dual of [670, 567, 29]-code)	[i]	✔
31	Linear OA(5¹⁰², 668, F₅, 28) (dual of [668, 566, 29]-code)	[i]	✔