MinT - Information on Result #2200045

Information on Result #2200045

Linear OA(4⁵⁰, 60, F₄, 31) (dual of [60, 10, 32]-code), using strength reduction based on linear OA(4⁵⁰, 60, F₄, 32) (dual of [60, 10, 33]-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(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
  - Reedâ€“Solomon code RS(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(4⁵⁰, 30, F₄, 2, 31) (dual of [(30, 2), 10, 32]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁵⁰, 20, F₄, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code)	[i]		OOA Folding