MinT - Information on Result #909022

Information on Result #909022

Linear OOA(2¹⁹¹, 97, F₂, 2, 134) (dual of [(97, 2), 3, 135]-NRT-code), using juxtaposition based on

linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2¹⁸⁵, 94, F₂, 2, 130) (dual of [(94, 2), 3, 131]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2¹⁸⁷, 95, F₂, 2, 132) (dual of [(95, 2), 3, 133]-NRT-code), using
  - repeating each code word 19 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;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(2¹⁹¹, 97, F₂, 2, 133) (dual of [(97, 2), 3, 134]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁹¹, 97, F₂, 2, 132) (dual of [(97, 2), 3, 133]-NRT-code)	[i]
3	Linear OOA(2¹⁹¹, 97, F₂, 2, 131) (dual of [(97, 2), 3, 132]-NRT-code)	[i]
4	Linear OOA(2¹⁹¹, 97, F₂, 2, 130) (dual of [(97, 2), 3, 131]-NRT-code)	[i]
5	Linear OOA(2¹⁹¹, 97, F₂, 2, 129) (dual of [(97, 2), 3, 130]-NRT-code)	[i]
6	Linear OOA(2¹⁹¹, 97, F₂, 2, 128) (dual of [(97, 2), 3, 129]-NRT-code)	[i]
7	Linear OOA(2¹⁹¹, 97, F₂, 2, 127) (dual of [(97, 2), 3, 128]-NRT-code)	[i]
8	Linear OOA(2¹⁹¹, 97, F₂, 2, 126) (dual of [(97, 2), 3, 127]-NRT-code)	[i]
9	Linear OOA(2¹⁹¹, 97, F₂, 2, 125) (dual of [(97, 2), 3, 126]-NRT-code)	[i]
10	Linear OOA(2¹⁹¹, 97, F₂, 2, 124) (dual of [(97, 2), 3, 125]-NRT-code)	[i]
11	Linear OOA(2¹⁹¹, 97, F₂, 2, 123) (dual of [(97, 2), 3, 124]-NRT-code)	[i]
12	Linear OOA(2¹⁹¹, 97, F₂, 2, 122) (dual of [(97, 2), 3, 123]-NRT-code)	[i]