MinT - Information on Result #629468

Information on Result #629468

Linear OA(2²²⁸, 240, F₂, 109) (dual of [240, 12, 110]-code), using concatenation of two codes based on

linear OA(4⁷⁴, 80, F₄, 54) (dual of [80, 6, 55]-code), using
- strength reduction [i] based on linear OA(4⁷⁴, 80, F₄, 55) (dual of [80, 6, 56]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹³, 16, F₁₆, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
      - Reedâ€“Solomon code RS(3,16) [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(2²²⁸, 240, F₂, 108) (dual of [240, 12, 109]-code)	[i]		Strength Reduction
2	Linear OA(2²²⁷, 239, F₂, 108) (dual of [239, 12, 109]-code)	[i]		Truncation