MinT - Information on Result #2237650

Information on Result #2237650

Linear OA(4⁹⁰, 123, F₄, 42) (dual of [123, 33, 43]-code), using 2 times truncation based on linear OA(4⁹², 125, F₄, 44) (dual of [125, 33, 45]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁴, 25, F₆₄, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁴, 64, F₆₄, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
    - Reedâ€“Solomon code RS(50,64) [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(4⁹⁰, 61, F₄, 2, 42) (dual of [(61, 2), 32, 43]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁹⁰, 41, F₄, 3, 42) (dual of [(41, 3), 33, 43]-NRT-code)	[i]		OOA Folding