MinT - Information on Result #906340

Information on Result #906340

Linear OOA(4⁸⁸, 48, F₄, 2, 62) (dual of [(48, 2), 8, 63]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4²⁵, 16, F₄, 2, 20) (dual of [(16, 2), 7, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁵, 17, F₄, 2, 20) (dual of [(17, 2), 9, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4³¹, 16, F₄, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
- dual of repetition NRT-code with length 16 [i]
linear OOA(4³², 16, F₄, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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