MinT - Information on Result #2238639

Information on Result #2238639

Linear OA(4¹³⁰, 154, F₄, 73) (dual of [154, 24, 74]-code), using 2 times truncation based on linear OA(4¹³², 156, F₄, 75) (dual of [156, 24, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁸, 26, F₆₄, 18) (dual of [26, 8, 19]-code or 26-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(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  - hyperoval in PG(2,Â 4) [i]
  - the Hexacode [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(4¹³⁰, 77, F₄, 2, 73) (dual of [(77, 2), 24, 74]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹³⁰, 51, F₄, 3, 73) (dual of [(51, 3), 23, 74]-NRT-code)	[i]		OOA Folding