MinT - Information on Result #2201403

Information on Result #2201403

Linear OA(4¹¹⁴, 150, F₄, 55) (dual of [150, 36, 56]-code), using strength reduction based on linear OA(4¹¹⁴, 150, F₄, 56) (dual of [150, 36, 57]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁸, 30, F₆₄, 18) (dual of [30, 12, 19]-code or 30-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(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		Method
1	Linear OA(4¹¹³, 149, F₄, 54) (dual of [149, 36, 55]-code)	[i]	Truncation
2	Linear OOA(4¹¹⁴, 75, F₄, 2, 55) (dual of [(75, 2), 36, 56]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4¹¹⁴, 50, F₄, 3, 55) (dual of [(50, 3), 36, 56]-NRT-code)	[i]	OOA Folding