MinT - Information on Result #2767257

Information on Result #2767257

Linear OOA(2²⁴⁵, 65, F₂, 4, 160) (dual of [(65, 4), 15, 161]-NRT-code), using strength reduction based on linear OOA(2²⁴⁵, 65, F₂, 4, 164) (dual of [(65, 4), 15, 165]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁰, 13, F₃₂, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁰, 32, F₃₂, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
    - Reedâ€“Solomon code RS(22,32) [i]
2. linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,5P) [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(2²⁴⁶, 65, F₂, 4, 160) (dual of [(65, 4), 14, 161]-NRT-code)	[i]		OOA Duplication