MinT - Information on Result #2654193

Information on Result #2654193

Linear OOA(2²⁰⁸, 72, F₂, 3, 144) (dual of [(72, 3), 8, 145]-NRT-code), using 9 step truncation based on linear OOA(2²¹⁷, 75, F₂, 3, 153) (dual of [(75, 3), 8, 154]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹³, 15, F₁₆, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
  - discarding factors / shortening the dual code based on 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 OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [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(2²⁰⁸, 36, F₂, 6, 144) (dual of [(36, 6), 8, 145]-NRT-code)	[i]		OOA Folding