MinT - Information on Result #2201887

Information on Result #2201887

Linear OA(4¹²⁹, 165, F₄, 64) (dual of [165, 36, 65]-code), using strength reduction based on linear OA(4¹²⁹, 165, F₄, 65) (dual of [165, 36, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(64²¹, 33, F₆₄, 21) (dual of [33, 12, 22]-code or 33-arc in PG(20,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
    - Reedâ€“Solomon code RS(43,64) [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(4¹²⁹, 55, F₄, 3, 64) (dual of [(55, 3), 36, 65]-NRT-code)	[i]		OOA Folding