MinT - Information on Result #2237855

Information on Result #2237855

Linear OA(4⁹⁸, 128, F₄, 48) (dual of [128, 30, 49]-code), using 2 times truncation based on linear OA(4¹⁰⁰, 130, F₄, 50) (dual of [130, 30, 51]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁶, 26, F₆₄, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁶, 64, F₆₄, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
    - Reedâ€“Solomon code RS(48,64) [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		This result only	Method
1	Linear OOA(4⁹⁸, 64, F₄, 2, 48) (dual of [(64, 2), 30, 49]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁹⁸, 42, F₄, 3, 48) (dual of [(42, 3), 28, 49]-NRT-code)	[i]		OOA Folding