MinT - Information on Result #661424

Information on Result #661424

Linear OA(2¹⁸³, 201, F₂, 77) (dual of [201, 18, 78]-code), using concatenation of two codes based on

linear OA(4⁵⁸, 67, F₄, 38) (dual of [67, 9, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁵⁸, 68, F₄, 38) (dual of [68, 10, 39]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
      - extended Reedâ€“Solomon code RS_e(5,16) [i]
    2. linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
      - Reedâ€“Solomon code RS(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(2¹⁸², 200, F₂, 76) (dual of [200, 18, 77]-code)	[i]		Truncation