MinT - Information on Result #908775

Information on Result #908775

Linear OOA(2¹⁷⁶, 91, F₂, 2, 95) (dual of [(91, 2), 6, 96]-NRT-code), using juxtaposition based on

linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
    - dual of repetition NRT-code with length 9 [i]
linear OOA(2¹⁴², 74, F₂, 2, 77) (dual of [(74, 2), 6, 78]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁸, 57, F₂, 2, 59) (dual of [(57, 2), 6, 60]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code) (see above)
      2. linear OOA(2⁷⁴, 40, F₂, 2, 41) (dual of [(40, 2), 6, 42]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code) (see above)
        linear OOA(2⁴⁰, 23, F₂, 2, 23) (dual of [(23, 2), 6, 24]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;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]
        linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
        dual of repetition NRT-code with length 6 [i]
        linear OOA(2²³, 12, F₂, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
        dual of repetition NRT-code with length 12 [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(2²¹⁰, 108, F₂, 2, 113) (dual of [(108, 2), 6, 114]-NRT-code)	[i]		Juxtaposition for OOAs