MinT - Information on Result #913443

Information on Result #913443

Linear OOA(4¹⁸⁶, 95, F₄, 2, 152) (dual of [(95, 2), 4, 153]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹⁷, 19, F₁₆, 16) (dual of [19, 2, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹⁷, 20, F₁₆, 16) (dual of [20, 3, 17]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₀ [i] based on
    1. linear OA(16¹⁶, 17, F₁₆, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,16)), using code C₁ for uÂ =Â 2 by de Boer and Brouwer [i]
    2. linear OA(16¹⁴, 17, F₁₆, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using code C₀ for uÂ =Â 2 by de Boer and Brouwer [i]
    3. linear OA(16¹, 3, F₁₆, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
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(4¹⁸⁶, 95, F₄, 2, 151) (dual of [(95, 2), 4, 152]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁸⁶, 95, F₄, 2, 150) (dual of [(95, 2), 4, 151]-NRT-code)	[i]		Strength Reduction for OOAs