MinT - Information on Result #1087076

Information on Result #1087076

Linear OOA(2¹⁰¹, 26, F₂, 4, 87) (dual of [(26, 4), 3, 88]-NRT-code), using juxtaposition based on

linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
linear OOA(2⁸⁹, 23, F₂, 4, 77) (dual of [(23, 4), 3, 78]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
  2. linear OOA(2⁷⁷, 20, F₂, 4, 67) (dual of [(20, 4), 3, 68]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁰¹, 26, F₂, 4, 86) (dual of [(26, 4), 3, 87]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁰¹, 26, F₂, 4, 85) (dual of [(26, 4), 3, 86]-NRT-code)	[i]
3	Linear OOA(2¹⁰¹, 26, F₂, 4, 84) (dual of [(26, 4), 3, 85]-NRT-code)	[i]
4	Linear OOA(2¹⁰¹, 26, F₂, 4, 83) (dual of [(26, 4), 3, 84]-NRT-code)	[i]
5	Linear OOA(2¹⁰¹, 26, F₂, 4, 82) (dual of [(26, 4), 3, 83]-NRT-code)	[i]
6	Linear OOA(2¹⁰¹, 26, F₂, 4, 81) (dual of [(26, 4), 3, 82]-NRT-code)	[i]
7	Linear OOA(2¹⁰¹, 26, F₂, 4, 80) (dual of [(26, 4), 3, 81]-NRT-code)	[i]
8	Linear OOA(2¹⁰¹, 26, F₂, 4, 79) (dual of [(26, 4), 3, 80]-NRT-code)	[i]
9	Linear OOA(2¹⁰¹, 26, F₂, 4, 78) (dual of [(26, 4), 3, 79]-NRT-code)	[i]
10	Linear OOA(2⁹⁸, 25, F₂, 4, 84) (dual of [(25, 4), 2, 85]-NRT-code)	[i]		Truncation for OOAs
11	Linear OOA(2⁹⁰, 23, F₂, 4, 76) (dual of [(23, 4), 2, 77]-NRT-code)	[i]		Truncation for OOAs
12	Linear OOA(2¹⁰¹, 13, F₂, 8, 87) (dual of [(13, 8), 3, 88]-NRT-code)	[i]		OOA Folding