MinT - Information on Result #2240795

Information on Result #2240795

Linear OA(4¹⁴⁴, 198, F₄, 66) (dual of [198, 54, 67]-code), using 2 times truncation based on linear OA(4¹⁴⁶, 200, F₄, 68) (dual of [200, 54, 69]-code), using

concatenation of two codes [i] based on
1. linear OA(64²², 40, F₆₄, 22) (dual of [40, 18, 23]-code or 40-arc in PG(21,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²², 64, F₆₄, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
    - Reedâ€“Solomon code RS(42,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁴⁴, 99, F₄, 2, 66) (dual of [(99, 2), 54, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁴⁴, 66, F₄, 3, 66) (dual of [(66, 3), 54, 67]-NRT-code)	[i]		OOA Folding