MinT - Information on Result #1146258

Information on Result #1146258

Linear OOA(2¹⁹⁵, 33, F₂, 6, 177) (dual of [(33, 6), 3, 178]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
linear OOA(2¹⁷⁷, 30, F₂, 6, 161) (dual of [(30, 6), 3, 162]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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		This result only	Method
1	Linear OOA(2¹⁹⁵, 33, F₂, 6, 176) (dual of [(33, 6), 3, 177]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁹⁴, 32, F₂, 6, 176)	[i]		Truncation for OOAs
3	Linear OOA(2¹⁹³, 32, F₂, 6, 175)	[i]
4	Linear OOA(2¹⁸⁸, 31, F₂, 6, 170)	[i]
5	Linear OOA(2¹⁸⁷, 31, F₂, 6, 169)	[i]
6	Linear OOA(2¹⁸⁴, 31, F₂, 6, 166) (dual of [(31, 6), 2, 167]-NRT-code)	[i]
7	Linear OOA(2¹⁸², 30, F₂, 6, 164)	[i]
8	Linear OOA(2¹⁸¹, 30, F₂, 6, 163)	[i]
9	Linear OOA(2¹⁷⁶, 29, F₂, 6, 158)	[i]
10	Linear OOA(2¹⁷⁵, 29, F₂, 6, 157)	[i]
11	Linear OOA(2¹⁷², 29, F₂, 6, 154) (dual of [(29, 6), 2, 155]-NRT-code)	[i]
12	Linear OOA(2¹⁷¹, 29, F₂, 6, 153) (dual of [(29, 6), 3, 154]-NRT-code)	[i]
13	Linear OOA(2¹⁷⁰, 28, F₂, 6, 152)	[i]
14	Linear OOA(2¹⁶⁹, 28, F₂, 6, 151)	[i]
15	Linear OOA(2¹⁶⁴, 27, F₂, 6, 146)	[i]
16	Linear OOA(2¹⁶³, 27, F₂, 6, 145)	[i]
17	Linear OOA(2¹⁵⁸, 26, F₂, 6, 140)	[i]
18	Linear OOA(2¹⁵⁷, 26, F₂, 6, 139)	[i]
19	Linear OOA(2²¹³, 36, F₂, 6, 193) (dual of [(36, 6), 3, 194]-NRT-code)	[i]		Juxtaposition for OOAs