MinT - Information on Result #1161656

Information on Result #1161656

Linear OOA(2²⁵⁶, 37, F₂, 7, 235) (dual of [(37, 7), 3, 236]-NRT-code), using juxtaposition based on

linear OOA(2¹⁸, 3, F₂, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(7;3,2) [i]
linear OOA(2²³⁵, 34, F₂, 7, 216) (dual of [(34, 7), 3, 217]-NRT-code), using
- 7 step truncation [i] based on linear OOA(2²⁴², 35, F₂, 7, 223) (dual of [(35, 7), 3, 224]-NRT-code), using
  - repeating each code word 7 times [i] based on linear OOA(2³², 5, F₂, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2²⁵⁶, 37, F₂, 7, 234) (dual of [(37, 7), 3, 235]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁶, 37, F₂, 7, 233) (dual of [(37, 7), 3, 234]-NRT-code)	[i]
3	Linear OOA(2²⁵⁶, 37, F₂, 7, 232) (dual of [(37, 7), 3, 233]-NRT-code)	[i]
4	Linear OOA(2²⁵⁶, 37, F₂, 7, 231) (dual of [(37, 7), 3, 232]-NRT-code)	[i]
5	Linear OOA(2²⁵⁶, 37, F₂, 7, 230) (dual of [(37, 7), 3, 231]-NRT-code)	[i]
6	Linear OOA(2²⁵⁶, 37, F₂, 7, 229) (dual of [(37, 7), 3, 230]-NRT-code)	[i]
7	Linear OOA(2²⁵⁶, 37, F₂, 7, 228) (dual of [(37, 7), 3, 229]-NRT-code)	[i]
8	Linear OOA(2²⁵⁶, 37, F₂, 7, 227) (dual of [(37, 7), 3, 228]-NRT-code)	[i]
9	Linear OOA(2²⁵⁶, 37, F₂, 7, 226) (dual of [(37, 7), 3, 227]-NRT-code)	[i]
10	Linear OOA(2²⁵⁶, 37, F₂, 7, 225) (dual of [(37, 7), 3, 226]-NRT-code)	[i]
11	Linear OOA(2²⁵⁶, 37, F₂, 7, 224) (dual of [(37, 7), 3, 225]-NRT-code)	[i]
12	Linear OOA(2²⁵⁶, 37, F₂, 7, 223) (dual of [(37, 7), 3, 224]-NRT-code)	[i]
13	Linear OOA(2²⁵⁶, 37, F₂, 7, 222) (dual of [(37, 7), 3, 223]-NRT-code)	[i]
14	Linear OOA(2²⁵⁶, 37, F₂, 7, 221) (dual of [(37, 7), 3, 222]-NRT-code)	[i]
15	Linear OOA(2²⁵⁶, 37, F₂, 7, 220) (dual of [(37, 7), 3, 221]-NRT-code)	[i]
16	Linear OOA(2²⁵⁶, 37, F₂, 7, 219) (dual of [(37, 7), 3, 220]-NRT-code)	[i]
17	Linear OOA(2²⁵⁶, 37, F₂, 7, 218) (dual of [(37, 7), 3, 219]-NRT-code)	[i]
18	Linear OOA(2²⁵⁶, 37, F₂, 7, 217) (dual of [(37, 7), 3, 218]-NRT-code)	[i]
19	Linear OOA(2²⁵⁶, 37, F₂, 7, 216) (dual of [(37, 7), 3, 217]-NRT-code)	[i]
20	Linear OOA(2²⁵⁶, 37, F₂, 7, 215) (dual of [(37, 7), 3, 216]-NRT-code)	[i]
21	Linear OOA(2²⁵⁶, 37, F₂, 7, 214) (dual of [(37, 7), 3, 215]-NRT-code)	[i]
22	Linear OOA(2²⁵⁶, 37, F₂, 7, 213) (dual of [(37, 7), 3, 214]-NRT-code)	[i]
23	Linear OOA(2²⁵⁶, 37, F₂, 7, 212) (dual of [(37, 7), 3, 213]-NRT-code)	[i]
24	Linear OOA(2²⁶⁰, 37, F₂, 7, 235)	[i]	OOA Duplication
25	Linear OOA(2²⁵⁵, 36, F₂, 7, 234)	[i]	Truncation for OOAs
26	Linear OOA(2²⁵⁴, 36, F₂, 7, 233)	[i]
27	Linear OOA(2²⁵³, 36, F₂, 7, 232)	[i]
28	Linear OOA(2²⁴⁸, 35, F₂, 7, 227)	[i]
29	Linear OOA(2²⁴⁷, 35, F₂, 7, 226)	[i]
30	Linear OOA(2²⁴⁶, 35, F₂, 7, 225)	[i]
31	Linear OOA(2²⁴³, 35, F₂, 7, 222) (dual of [(35, 7), 2, 223]-NRT-code)	[i]
32	Linear OOA(2²⁴¹, 34, F₂, 7, 220)	[i]
33	Linear OOA(2²⁴⁰, 34, F₂, 7, 219)	[i]
34	Linear OOA(2²³⁹, 34, F₂, 7, 218)	[i]
35	Linear OOA(2²³⁵, 34, F₂, 7, 214) (dual of [(34, 7), 3, 215]-NRT-code)	[i]
36	Linear OOA(2²³⁴, 33, F₂, 7, 213)	[i]
37	Linear OOA(2²³³, 33, F₂, 7, 212)	[i]
38	Linear OOA(2²³², 33, F₂, 7, 211)	[i]
39	Linear OOA(2²²⁷, 32, F₂, 7, 206)	[i]
40	Linear OOA(2²²⁶, 32, F₂, 7, 205)	[i]
41	Linear OOA(2²²⁵, 32, F₂, 7, 204)	[i]
42	Linear OOA(2²²⁰, 31, F₂, 7, 199)	[i]
43	Linear OOA(2²¹⁹, 31, F₂, 7, 198)	[i]
44	Linear OOA(2²¹⁸, 31, F₂, 7, 197)	[i]
45	Linear OOA(2²¹⁵, 31, F₂, 7, 194) (dual of [(31, 7), 2, 195]-NRT-code)	[i]
46	Linear OOA(2²¹³, 30, F₂, 7, 192)	[i]
47	Linear OOA(2²¹², 30, F₂, 7, 191)	[i]
48	Linear OOA(2²¹¹, 30, F₂, 7, 190)	[i]