MinT - Information on Result #2761676

Information on Result #2761676

Linear OOA(2¹⁵⁴, 40, F₂, 4, 116) (dual of [(40, 4), 6, 117]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁴, 40, F₂, 4, 118) (dual of [(40, 4), 6, 119]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
  - Reedâ€“Solomon code RS(2,8) [i]
2. linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,3P) [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(2¹⁵⁴, 20, F₂, 8, 116) (dual of [(20, 8), 6, 117]-NRT-code)	[i]		OOA Folding