MinT - Information on Result #1027347

Information on Result #1027347

Linear OOA(4⁹⁹, 35, F₄, 3, 83) (dual of [(35, 3), 6, 84]-NRT-code), using juxtaposition based on

linear OOA(4¹⁸, 8, F₄, 3, 17) (dual of [(8, 3), 6, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁸, 9, F₄, 3, 17) (dual of [(9, 3), 9, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(4⁹⁹, 35, F₄, 3, 82) (dual of [(35, 3), 6, 83]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4⁹⁹, 35, F₄, 3, 81) (dual of [(35, 3), 6, 82]-NRT-code)	[i]		Strength Reduction for OOAs