MinT - Information on Result #2421254

Information on Result #2421254

Linear OOA(2¹⁵⁸, 85, F₂, 2, 87) (dual of [(85, 2), 12, 88]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁸, 85, F₂, 2, 89) (dual of [(85, 2), 12, 90]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁴, 17, F₁₆, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
  - extended Reedâ€“Solomon code RS_e(3,16) [i]
2. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;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		Method
1	Linear OOA(2¹⁵⁹, 85, F₂, 2, 87) (dual of [(85, 2), 11, 88]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹⁵⁷, 84, F₂, 2, 86) (dual of [(84, 2), 11, 87]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹⁵⁶, 84, F₂, 2, 85) (dual of [(84, 2), 12, 86]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁵, 83, F₂, 2, 84) (dual of [(83, 2), 11, 85]-NRT-code)	[i]