MinT - Information on Result #1177241

Information on Result #1177241

Linear OOA(2¹²⁴, 16, F₂, 8, 111) (dual of [(16, 8), 4, 112]-NRT-code), using repeating each code word 4 times based on linear OOA(2²⁸, 4, F₂, 8, 27) (dual of [(4, 8), 4, 28]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁸, 5, F₂, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,12P) [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(2¹²⁴, 16, F₂, 8, 110) (dual of [(16, 8), 4, 111]-NRT-code)	[i]		Strength Reduction for OOAs