MinT - Information on Result #2243097

Information on Result #2243097

Linear OA(4²⁰⁹, 284, F₄, 97) (dual of [284, 75, 98]-code), using 1 times truncation based on linear OA(4²¹⁰, 285, F₄, 98) (dual of [285, 75, 99]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 57, F₆₄, 32) (dual of [57, 25, 33]-code or 57-arc in PG(31,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³², 64, F₆₄, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
    - Reedâ€“Solomon code RS(32,64) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁰⁹, 142, F₄, 2, 97) (dual of [(142, 2), 75, 98]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²⁰⁹, 94, F₄, 3, 97) (dual of [(94, 3), 73, 98]-NRT-code)	[i]		OOA Folding