MinT - Information on Result #2235672

Information on Result #2235672

Linear OA(4⁵⁷, 67, F₄, 37) (dual of [67, 10, 38]-code), using 1 times truncation based on linear OA(4⁵⁸, 68, F₄, 38) (dual of [68, 10, 39]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
  - extended Reedâ€“Solomon code RS_e(5,16) [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(4⁵⁷, 33, F₄, 2, 37) (dual of [(33, 2), 9, 38]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁵⁷, 22, F₄, 3, 37) (dual of [(22, 3), 9, 38]-NRT-code)	[i]		OOA Folding