MinT - Information on Result #2768272

Information on Result #2768272

Linear OOA(2²⁵⁹, 70, F₂, 4, 154) (dual of [(70, 4), 21, 155]-NRT-code), using strength reduction based on linear OOA(2²⁵⁹, 70, F₂, 4, 155) (dual of [(70, 4), 21, 156]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(128¹¹, 14, F₁₂₈, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,128)), using
  - discarding factors / shortening the dual code based on linear OA(128¹¹, 128, F₁₂₈, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
    - Reedâ€“Solomon code RS(117,128) [i]
2. linear OOA(2¹³, 5, F₂, 4, 12) (dual of [(5, 4), 7, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [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(2²⁵⁹, 35, F₂, 8, 154) (dual of [(35, 8), 21, 155]-NRT-code)	[i]		OOA Folding