MinT - Information on Result #1177500

Information on Result #1177500

Linear OOA(2²⁵³, 32, F₂, 8, 235) (dual of [(32, 8), 3, 236]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(8;3,2) [i]
linear OOA(2²²⁹, 29, F₂, 8, 213) (dual of [(29, 8), 3, 214]-NRT-code), using
- 8 step truncation [i] based on linear OOA(2²³⁷, 30, F₂, 8, 221) (dual of [(30, 8), 3, 222]-NRT-code), using
  - repeating each code word 6 times [i] based on linear OOA(2³⁷, 5, F₂, 8, 36) (dual of [(5, 8), 3, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;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(2²⁵³, 32, F₂, 8, 234) (dual of [(32, 8), 3, 235]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵³, 32, F₂, 8, 233) (dual of [(32, 8), 3, 234]-NRT-code)	[i]
3	Linear OOA(2²⁵³, 32, F₂, 8, 232) (dual of [(32, 8), 3, 233]-NRT-code)	[i]
4	Linear OOA(2²⁵⁷, 32, F₂, 8, 235)	[i]	OOA Duplication
5	Linear OOA(2²⁵⁸, 32, F₂, 8, 235)	[i]	OOA Duplication
6	Linear OOA(2²⁵², 31, F₂, 8, 234)	[i]	Truncation for OOAs
7	Linear OOA(2²⁵¹, 31, F₂, 8, 233)	[i]
8	Linear OOA(2²⁵⁰, 31, F₂, 8, 232)	[i]
9	Linear OOA(2²⁴⁹, 31, F₂, 8, 231)	[i]
10	Linear OOA(2²⁴⁴, 30, F₂, 8, 226)	[i]
11	Linear OOA(2²⁴³, 30, F₂, 8, 225)	[i]
12	Linear OOA(2²⁴², 30, F₂, 8, 224)	[i]
13	Linear OOA(2²⁴¹, 30, F₂, 8, 223)	[i]
14	Linear OOA(2²³⁶, 29, F₂, 8, 218)	[i]
15	Linear OOA(2²³⁵, 29, F₂, 8, 217)	[i]
16	Linear OOA(2²³⁴, 29, F₂, 8, 216)	[i]
17	Linear OOA(2²³³, 29, F₂, 8, 215)	[i]
18	Linear OOA(2²³⁰, 29, F₂, 8, 212) (dual of [(29, 8), 2, 213]-NRT-code)	[i]
19	Linear OOA(2²²⁹, 29, F₂, 8, 211) (dual of [(29, 8), 3, 212]-NRT-code)	[i]
20	Linear OOA(2²²⁸, 28, F₂, 8, 210)	[i]
21	Linear OOA(2²²⁷, 28, F₂, 8, 209)	[i]
22	Linear OOA(2²²⁶, 28, F₂, 8, 208)	[i]
23	Linear OOA(2²²⁵, 28, F₂, 8, 207)	[i]
24	Linear OOA(2²²⁰, 27, F₂, 8, 202)	[i]
25	Linear OOA(2²¹⁹, 27, F₂, 8, 201)	[i]
26	Linear OOA(2²¹⁸, 27, F₂, 8, 200)	[i]
27	Linear OOA(2²¹⁷, 27, F₂, 8, 199)	[i]
28	Linear OOA(2²¹², 26, F₂, 8, 194)	[i]
29	Linear OOA(2²¹¹, 26, F₂, 8, 193)	[i]
30	Linear OOA(2²¹⁰, 26, F₂, 8, 192)	[i]
31	Linear OOA(2²⁰⁹, 26, F₂, 8, 191)	[i]