MinT - Information on Result #909006

Information on Result #909006

Linear OOA(2¹³⁹, 71, F₂, 2, 98) (dual of [(71, 2), 3, 99]-NRT-code), using juxtaposition based on

linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2¹³³, 68, F₂, 2, 94) (dual of [(68, 2), 3, 95]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code) (see above)
  2. linear OOA(2¹²⁷, 65, F₂, 2, 90) (dual of [(65, 2), 3, 91]-NRT-code), using
    - repeating each code word 13 times [i] based on 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(2¹³⁹, 71, F₂, 2, 97) (dual of [(71, 2), 3, 98]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁹, 71, F₂, 2, 96) (dual of [(71, 2), 3, 97]-NRT-code)	[i]
3	Linear OOA(2¹³⁹, 71, F₂, 2, 95) (dual of [(71, 2), 3, 96]-NRT-code)	[i]
4	Linear OOA(2¹³⁹, 71, F₂, 2, 94) (dual of [(71, 2), 3, 95]-NRT-code)	[i]
5	Linear OOA(2¹³⁹, 71, F₂, 2, 93) (dual of [(71, 2), 3, 94]-NRT-code)	[i]
6	Linear OOA(2¹³⁹, 71, F₂, 2, 92) (dual of [(71, 2), 3, 93]-NRT-code)	[i]
7	Linear OOA(2¹³⁹, 71, F₂, 2, 91) (dual of [(71, 2), 3, 92]-NRT-code)	[i]
8	Linear OOA(2¹³⁹, 71, F₂, 2, 90) (dual of [(71, 2), 3, 91]-NRT-code)	[i]
9	Linear OOA(2¹³⁹, 71, F₂, 2, 89) (dual of [(71, 2), 3, 90]-NRT-code)	[i]
10	Linear OOA(2¹³⁵, 69, F₂, 2, 94) (dual of [(69, 2), 3, 95]-NRT-code)	[i]		Truncation for OOAs
11	Linear OOA(2¹³², 67, F₂, 2, 91) (dual of [(67, 2), 2, 92]-NRT-code)	[i]
12	Linear OOA(2¹²⁸, 65, F₂, 2, 87) (dual of [(65, 2), 2, 88]-NRT-code)	[i]