MinT - Information on Result #2237441

Information on Result #2237441

Linear OA(4⁸⁶, 119, F₄, 40) (dual of [119, 33, 41]-code), using 1 times truncation based on linear OA(4⁸⁷, 120, F₄, 41) (dual of [120, 33, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹³, 24, F₆₄, 13) (dual of [24, 11, 14]-code or 24-arc in PG(12,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, 64, F₆₄, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
    - Reedâ€“Solomon code RS(51,64) [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(4⁸⁶, 59, F₄, 2, 40) (dual of [(59, 2), 32, 41]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁸⁶, 39, F₄, 3, 40) (dual of [(39, 3), 31, 41]-NRT-code)	[i]		OOA Folding