MinT - Information on Result #2241630

Information on Result #2241630

Linear OA(4¹⁶⁶, 223, F₄, 78) (dual of [223, 57, 79]-code), using 2 times truncation based on linear OA(4¹⁶⁸, 225, F₄, 80) (dual of [225, 57, 81]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁶, 45, F₆₄, 26) (dual of [45, 19, 27]-code or 45-arc in PG(25,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁶, 64, F₆₄, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
    - Reedâ€“Solomon code RS(38,64) [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(4¹⁶⁶, 111, F₄, 2, 78) (dual of [(111, 2), 56, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁶⁶, 74, F₄, 3, 78) (dual of [(74, 3), 56, 79]-NRT-code)	[i]		OOA Folding