MinT - Information on Result #2673895

Information on Result #2673895

Linear OOA(2¹⁹¹, 73, F₂, 3, 100) (dual of [(73, 3), 28, 101]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2¹⁸⁸, 72, F₂, 3, 100) (dual of [(72, 3), 28, 101]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁸⁸, 72, F₂, 3, 101) (dual of [(72, 3), 28, 102]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁷, 24, F₁₆, 16) (dual of [24, 7, 17]-code), using
    - extended algebraic-geometric code AG_e(F,7P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;4,2) [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(2¹⁹², 73, F₂, 3, 100) (dual of [(73, 3), 27, 101]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁹³, 73, F₂, 3, 100) (dual of [(73, 3), 26, 101]-NRT-code)	[i]		OOA Duplication