MinT - Information on Result #908878

Information on Result #908878

Linear OOA(2²²⁷, 116, F₂, 2, 129) (dual of [(116, 2), 5, 130]-NRT-code), using juxtaposition based on

linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2²¹¹, 108, F₂, 2, 120) (dual of [(108, 2), 5, 121]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
  2. linear OOA(2¹⁹⁵, 100, F₂, 2, 111) (dual of [(100, 2), 5, 112]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
      2. linear OOA(2¹⁷⁹, 92, F₂, 2, 102) (dual of [(92, 2), 5, 103]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2¹⁶³, 84, F₂, 2, 93) (dual of [(84, 2), 5, 94]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2¹⁴⁷, 76, F₂, 2, 84) (dual of [(76, 2), 5, 85]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2¹³¹, 68, F₂, 2, 75) (dual of [(68, 2), 5, 76]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2¹¹⁵, 60, F₂, 2, 66) (dual of [(60, 2), 5, 67]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁹⁹, 52, F₂, 2, 57) (dual of [(52, 2), 5, 58]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁸³, 44, F₂, 2, 48) (dual of [(44, 2), 5, 49]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁶⁷, 36, F₂, 2, 39) (dual of [(36, 2), 5, 40]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
        dual of repetition NRT-code with length 10 [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(2²⁴³, 124, F₂, 2, 138) (dual of [(124, 2), 5, 139]-NRT-code)	[i]		Juxtaposition for OOAs