MinT - Information on Result #2200423

Information on Result #2200423

Linear OA(4⁷⁴, 80, F₄, 54) (dual of [80, 6, 55]-code), using strength reduction based on linear OA(4⁷⁴, 80, F₄, 55) (dual of [80, 6, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹³, 16, F₁₆, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
  - Reedâ€“Solomon code RS(3,16) [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(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 OA(4¹⁵⁴, 160, F₄, 109) (dual of [160, 6, 110]-code)	[i]		Repeating Each Code Word
2	Linear OA(4¹⁵³, 158, F₄, 109) (dual of [158, 5, 110]-code)	[i]		Repeating Each Code Word
3	Linear OA(2²²⁸, 240, F₂, 109) (dual of [240, 12, 110]-code)	[i]		Concatenation of Two Codes
4	Linear OA(2²²⁷, 237, F₂, 109) (dual of [237, 10, 110]-code)	[i]		Concatenation of Two Codes
5	Linear OOA(4⁷⁴, 40, F₄, 2, 54) (dual of [(40, 2), 6, 55]-NRT-code)	[i]		OOA Folding