MinT - Information on Result #2238197

Information on Result #2238197

Linear OA(4⁸³, 155, F₄, 30) (dual of [155, 72, 31]-code), using 1 times truncation based on linear OA(4⁸⁴, 156, F₄, 31) (dual of [156, 72, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁵, 39, F₆₄, 15) (dual of [39, 24, 16]-code or 39-arc in PG(14,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁵, 64, F₆₄, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
    - Reedâ€“Solomon code RS(49,64) [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(4⁸³, 77, F₄, 2, 30) (dual of [(77, 2), 71, 31]-NRT-code)	[i]		OOA Folding