MinT - Information on Result #1025500

Information on Result #1025500

Linear OOA(2¹⁹⁹, 69, F₂, 3, 117) (dual of [(69, 3), 8, 118]-NRT-code), using juxtaposition based on

linear OOA(2³⁴, 14, F₂, 3, 23) (dual of [(14, 3), 8, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁷, 55, F₂, 3, 93) (dual of [(55, 3), 8, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁴, 14, F₂, 3, 23) (dual of [(14, 3), 8, 24]-NRT-code) (see above)
  2. linear OOA(2¹¹⁵, 41, F₂, 3, 69) (dual of [(41, 3), 8, 70]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³⁴, 14, F₂, 3, 23) (dual of [(14, 3), 8, 24]-NRT-code) (see above)
      2. linear OOA(2⁷³, 27, F₂, 3, 45) (dual of [(27, 3), 8, 46]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²², 10, F₂, 3, 16) (dual of [(10, 3), 8, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]
        linear OOA(2⁴³, 17, F₂, 3, 28) (dual of [(17, 3), 8, 29]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁴¹, 83, F₂, 3, 141) (dual of [(83, 3), 8, 142]-NRT-code)	[i]		Juxtaposition for OOAs