MinT - Information on Result #2420107

Information on Result #2420107

Linear OOA(2¹³⁸, 75, F₂, 2, 75) (dual of [(75, 2), 12, 76]-NRT-code), using strength reduction based on linear OOA(2¹³⁸, 75, F₂, 2, 76) (dual of [(75, 2), 12, 77]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹¹, 15, F₈, 10) (dual of [15, 4, 11]-code), using
  - 1 times truncation [i] based on linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
    - a code by Marcugini, Milani, and Pambianco [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		Method
1	Linear OOA(2¹³⁹, 75, F₂, 2, 75) (dual of [(75, 2), 11, 76]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹³⁷, 74, F₂, 2, 74) (dual of [(74, 2), 11, 75]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹³⁶, 74, F₂, 2, 73) (dual of [(74, 2), 12, 74]-NRT-code)	[i]
4	Linear OOA(2¹³⁵, 73, F₂, 2, 72) (dual of [(73, 2), 11, 73]-NRT-code)	[i]