MinT - Information on Result #2423110

Information on Result #2423110

Linear OOA(2¹⁸⁵, 100, F₂, 2, 96) (dual of [(100, 2), 15, 97]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁵, 100, F₂, 2, 97) (dual of [(100, 2), 15, 98]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹⁵, 20, F₈, 13) (dual of [20, 5, 14]-code), using
  - generator matrices provided on Edelâ€™s homepage [i]
2. linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;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(2¹⁸⁵, 50, F₂, 4, 96) (dual of [(50, 4), 15, 97]-NRT-code)	[i]		OOA Folding