MinT - Information on Result #661426

Information on Result #661426

Linear OA(2²⁰¹, 219, F₂, 85) (dual of [219, 18, 86]-code), using concatenation of two codes based on

linear OA(4⁶⁴, 73, F₄, 42) (dual of [73, 9, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁶⁴, 74, F₄, 42) (dual of [74, 10, 43]-code), using
  - 1 times truncation [i] based on linear OA(4⁶⁵, 75, F₄, 43) (dual of [75, 10, 44]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(16¹⁰, 15, F₁₆, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
        discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
        Reedâ€“Solomon code RS(6,16) [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]
linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2²⁰⁰, 218, F₂, 84) (dual of [218, 18, 85]-code)	[i]		Truncation
2	Linear OOA(2²⁰¹, 73, F₂, 3, 85) (dual of [(73, 3), 18, 86]-NRT-code)	[i]		OOA Folding