MinT - Information on Result #636680

Information on Result #636680

Linear OA(4⁸⁴, 105, F₄, 44) (dual of [105, 21, 45]-code), using concatenation of two codes based on

linear OA(64¹⁴, 21, F₆₄, 14) (dual of [21, 7, 15]-code or 21-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]
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(4⁸⁴, 52, F₄, 2, 44) (dual of [(52, 2), 20, 45]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁸⁴, 35, F₄, 3, 44) (dual of [(35, 3), 21, 45]-NRT-code)	[i]		OOA Folding