MinT - Information on Result #2235751

Information on Result #2235751

Linear OA(4⁶², 72, F₄, 40) (dual of [72, 10, 41]-code), using 3 times truncation based on linear OA(4⁶⁵, 75, F₄, 43) (dual of [75, 10, 44]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹⁰, 15, F₁₆, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
  - discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
    - Reedâ€“Solomon code RS(6,16) [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(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(4⁶², 36, F₄, 2, 40) (dual of [(36, 2), 10, 41]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁶², 24, F₄, 3, 40) (dual of [(24, 3), 10, 41]-NRT-code)	[i]		OOA Folding