MinT - Information on Result #724731

Information on Result #724731

Linear OA(25⁷², 624, F₂₅, 38) (dual of [624, 552, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624Â = 25²âˆ’1, defining interval IÂ =Â [0,37], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 39

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 OA(25¹⁰⁶, 676, F₂₅, 47) (dual of [676, 570, 48]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
2	Linear OA(25⁷⁴, 628, F₂₅, 39) (dual of [628, 554, 40]-code)	[i]	✔
3	Linear OA(25¹¹⁰, 679, F₂₅, 48) (dual of [679, 569, 49]-code)	[i]	✔
4	Linear OA(25¹⁰⁹, 676, F₂₅, 48) (dual of [676, 567, 49]-code)	[i]	✔
5	Linear OA(25¹⁰⁵, 673, F₂₅, 47) (dual of [673, 568, 48]-code)	[i]	✔
6	Linear OA(25⁷⁷, 631, F₂₅, 40) (dual of [631, 554, 41]-code)	[i]	✔
7	Linear OA(25¹⁰⁸, 673, F₂₅, 48) (dual of [673, 565, 49]-code)	[i]	✔
8	Linear OA(25¹⁰⁴, 670, F₂₅, 47) (dual of [670, 566, 48]-code)	[i]	✔
9	Linear OA(25⁸⁰, 634, F₂₅, 41) (dual of [634, 554, 42]-code)	[i]	✔
10	Linear OA(25¹⁰⁷, 670, F₂₅, 48) (dual of [670, 563, 49]-code)	[i]	✔
11	Linear OA(25¹⁰³, 667, F₂₅, 47) (dual of [667, 564, 48]-code)	[i]	✔
12	Linear OA(25⁸³, 637, F₂₅, 42) (dual of [637, 554, 43]-code)	[i]	✔
13	Linear OA(25¹¹⁰, 670, F₂₅, 49) (dual of [670, 560, 50]-code)	[i]	✔
14	Linear OA(25¹⁰⁶, 667, F₂₅, 48) (dual of [667, 561, 49]-code)	[i]	✔
15	Linear OA(25¹⁰², 664, F₂₅, 47) (dual of [664, 562, 48]-code)	[i]	✔
16	Linear OA(25⁸⁶, 640, F₂₅, 43) (dual of [640, 554, 44]-code)	[i]	✔
17	Linear OA(25¹⁰⁹, 667, F₂₅, 49) (dual of [667, 558, 50]-code)	[i]	✔
18	Linear OA(25¹⁰⁵, 664, F₂₅, 48) (dual of [664, 559, 49]-code)	[i]	✔
19	Linear OA(25¹⁰¹, 661, F₂₅, 47) (dual of [661, 560, 48]-code)	[i]	✔
20	Linear OA(25⁸⁹, 643, F₂₅, 44) (dual of [643, 554, 45]-code)	[i]	✔
21	Linear OA(25¹⁰⁸, 664, F₂₅, 49) (dual of [664, 556, 50]-code)	[i]	✔
22	Linear OA(25¹⁰⁴, 661, F₂₅, 48) (dual of [661, 557, 49]-code)	[i]	✔
23	Linear OA(25¹⁰⁰, 658, F₂₅, 47) (dual of [658, 558, 48]-code)	[i]	✔
24	Linear OA(25⁹², 646, F₂₅, 45) (dual of [646, 554, 46]-code)	[i]	✔
25	Linear OA(25¹⁰⁷, 661, F₂₅, 49) (dual of [661, 554, 50]-code)	[i]	✔
26	Linear OA(25¹⁰³, 658, F₂₅, 48) (dual of [658, 555, 49]-code)	[i]	✔
27	Linear OA(25⁹⁹, 655, F₂₅, 47) (dual of [655, 556, 48]-code)	[i]	✔
28	Linear OA(25⁹⁵, 649, F₂₅, 46) (dual of [649, 554, 47]-code)	[i]	✔
29	Linear OA(25¹⁰⁶, 658, F₂₅, 49) (dual of [658, 552, 50]-code)	[i]	✔
30	Linear OA(25¹⁰², 655, F₂₅, 48) (dual of [655, 553, 49]-code)	[i]	✔
31	Linear OA(25⁹⁸, 652, F₂₅, 47) (dual of [652, 554, 48]-code)	[i]	✔
32	Linear OA(25⁷⁶, 628, F₂₅, 40) (dual of [628, 552, 41]-code)	[i]	✔
33	Linear OA(25⁷⁹, 631, F₂₅, 41) (dual of [631, 552, 42]-code)	[i]	✔
34	Linear OA(25⁸², 634, F₂₅, 42) (dual of [634, 552, 43]-code)	[i]	✔
35	Linear OA(25⁸⁵, 637, F₂₅, 43) (dual of [637, 552, 44]-code)	[i]	✔
36	Linear OA(25⁸⁸, 640, F₂₅, 44) (dual of [640, 552, 45]-code)	[i]	✔
37	Linear OA(25⁹¹, 643, F₂₅, 45) (dual of [643, 552, 46]-code)	[i]	✔
38	Linear OA(25⁹⁴, 646, F₂₅, 46) (dual of [646, 552, 47]-code)	[i]	✔
39	Linear OA(25⁹⁷, 649, F₂₅, 47) (dual of [649, 552, 48]-code)	[i]	✔
40	Linear OA(25¹⁰⁰, 652, F₂₅, 48) (dual of [652, 552, 49]-code)	[i]	✔
41	Linear OA(25¹⁰³, 655, F₂₅, 49) (dual of [655, 552, 50]-code)	[i]	✔
42	Linear OA(25¹⁰⁶, 655, F₂₅, 50) (dual of [655, 549, 51]-code)	[i]	✔
43	Linear OA(25¹⁰⁶, 658, F₂₅, 50) (dual of [658, 552, 51]-code)	[i]	✔