MinT - Information on Result #2240320

Information on Result #2240320

Linear OA(4¹²⁷, 187, F₄, 54) (dual of [187, 60, 55]-code), using 1 times truncation based on linear OA(4¹²⁸, 188, F₄, 55) (dual of [188, 60, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁷, 47, F₆₄, 27) (dual of [47, 20, 28]-code or 47-arc in PG(26,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁷, 64, F₆₄, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
    - Reedâ€“Solomon code RS(37,64) [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(4¹²⁷, 93, F₄, 2, 54) (dual of [(93, 2), 59, 55]-NRT-code)	[i]		OOA Folding