MinT - Information on Result #1177340

Information on Result #1177340

Linear OOA(2²⁶⁰, 33, F₂, 8, 233) (dual of [(33, 8), 4, 234]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁸⁴, 11, F₂, 8, 77) (dual of [(11, 8), 4, 78]-NRT-code), using

strength reduction [i] based on linear OOA(2⁸⁴, 11, F₂, 8, 78) (dual of [(11, 8), 4, 79]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁴⁴, 6, F₂, 8, 42) (dual of [(6, 8), 4, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2²⁶⁰, 33, F₂, 8, 232) (dual of [(33, 8), 4, 233]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 33, F₂, 8, 231) (dual of [(33, 8), 4, 232]-NRT-code)	[i]	Strength Reduction for OOAs
3	Linear OOA(2²⁵⁹, 32, F₂, 8, 232)	[i]	Truncation for OOAs
4	Linear OOA(2²⁵⁸, 32, F₂, 8, 231)	[i]
5	Linear OOA(2²⁵⁷, 32, F₂, 8, 230)	[i]
6	Linear OOA(2²⁵¹, 31, F₂, 8, 224)	[i]
7	Linear OOA(2²⁵⁰, 31, F₂, 8, 223)	[i]
8	Linear OOA(2²⁴⁹, 31, F₂, 8, 222)	[i]