MinT - Information on Result #941893

Information on Result #941893

Linear OOA(4¹⁹⁸, 102, F₄, 2, 159) (dual of [(102, 2), 6, 160]-NRT-code), using juxtaposition based on

linear OOA(4¹⁸, 12, F₄, 2, 15) (dual of [(12, 2), 6, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁷⁴, 90, F₄, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
    - Denniston code D(1,16) [i]
  2. linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁹⁸, 102, F₄, 2, 158) (dual of [(102, 2), 6, 159]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁹⁸, 102, F₄, 2, 157) (dual of [(102, 2), 6, 158]-NRT-code)	[i]		Strength Reduction for OOAs