MinT - Information on Result #641109

Information on Result #641109

Linear OA(4⁹⁵, 101, F₄, 68) (dual of [101, 6, 69]-code), using juxtaposition based on

linear OA(4⁵, 11, F₄, 4) (dual of [11, 6, 5]-code), using
- quaternary constacyclic codes with minimum distance 5 [i]
linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using
- concatenation of two 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 OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
    - extended Reedâ€“Solomon code RS_e(2,4) [i]
    - Simplex code S(2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(4⁹⁵, 101, F₄, 67) (dual of [101, 6, 68]-code)	[i]		Strength Reduction
2	Linear OA(4⁹⁵, 101, F₄, 66) (dual of [101, 6, 67]-code)	[i]		Strength Reduction