MinT - Information on Result #2202312

Information on Result #2202312

Linear OA(4¹⁴¹, 180, F₄, 70) (dual of [180, 39, 71]-code), using strength reduction based on linear OA(4¹⁴¹, 180, F₄, 71) (dual of [180, 39, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(64²³, 36, F₆₄, 23) (dual of [36, 13, 24]-code or 36-arc in PG(22,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²³, 64, F₆₄, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
    - Reedâ€“Solomon code RS(41,64) [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(4¹⁴¹, 90, F₄, 2, 70) (dual of [(90, 2), 39, 71]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁴¹, 60, F₄, 3, 70) (dual of [(60, 3), 39, 71]-NRT-code)	[i]		OOA Folding