MinT - Information on Result #2238194

Information on Result #2238194

Linear OA(4⁸⁹, 143, F₄, 36) (dual of [143, 54, 37]-code), using 1 times truncation based on linear OA(4⁹⁰, 144, F₄, 37) (dual of [144, 54, 38]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁸, 36, F₆₄, 18) (dual of [36, 18, 19]-code or 36-arc in PG(17,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
    - Reedâ€“Solomon code RS(46,64) [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(4⁸⁹, 71, F₄, 2, 36) (dual of [(71, 2), 53, 37]-NRT-code)	[i]		OOA Folding