MinT - Information on Result #2241990

Information on Result #2241990

Linear OA(4¹⁸³, 234, F₄, 90) (dual of [234, 51, 91]-code), using 1 times truncation based on linear OA(4¹⁸⁴, 235, F₄, 91) (dual of [235, 51, 92]-code), using

strength reduction [i] based on linear OA(4¹⁸⁴, 235, F₄, 92) (dual of [235, 51, 93]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁰, 47, F₆₄, 30) (dual of [47, 17, 31]-code or 47-arc in PG(29,64)), using
    - discarding factors / shortening the dual code based on linear OA(64³⁰, 64, F₆₄, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
      - Reedâ€“Solomon code RS(34,64) [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(4¹⁸³, 117, F₄, 2, 90) (dual of [(117, 2), 51, 91]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁸³, 78, F₄, 3, 90) (dual of [(78, 3), 51, 91]-NRT-code)	[i]		OOA Folding