MinT - Information on Result #941551

Information on Result #941551

Linear OOA(2¹³⁶, 71, F₂, 2, 87) (dual of [(71, 2), 6, 88]-NRT-code), using juxtaposition based on

linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2¹²⁰, 63, F₂, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
    - Simplex code S(3,4) [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹³⁶, 71, F₂, 2, 86) (dual of [(71, 2), 6, 87]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁶, 71, F₂, 2, 85) (dual of [(71, 2), 6, 86]-NRT-code)	[i]
3	Linear OOA(2¹³⁶, 71, F₂, 2, 84) (dual of [(71, 2), 6, 85]-NRT-code)	[i]
4	Linear OOA(2¹³⁶, 71, F₂, 2, 83) (dual of [(71, 2), 6, 84]-NRT-code)	[i]
5	Linear OOA(2¹³⁶, 71, F₂, 2, 82) (dual of [(71, 2), 6, 83]-NRT-code)	[i]
6	Linear OOA(2¹³⁶, 71, F₂, 2, 81) (dual of [(71, 2), 6, 82]-NRT-code)	[i]
7	Linear OOA(2¹³⁶, 71, F₂, 2, 80) (dual of [(71, 2), 6, 81]-NRT-code)	[i]
8	Linear OOA(2¹²⁶, 66, F₂, 2, 77) (dual of [(66, 2), 6, 78]-NRT-code)	[i]		Truncation for OOAs
9	Linear OOA(2¹²⁵, 65, F₂, 2, 76) (dual of [(65, 2), 5, 77]-NRT-code)	[i]
10	Linear OOA(2¹²⁴, 65, F₂, 2, 75) (dual of [(65, 2), 6, 76]-NRT-code)	[i]
11	Linear OOA(2¹²³, 64, F₂, 2, 74) (dual of [(64, 2), 5, 75]-NRT-code)	[i]
12	Linear OOA(2¹²², 64, F₂, 2, 73) (dual of [(64, 2), 6, 74]-NRT-code)	[i]
13	Linear OOA(2¹²¹, 63, F₂, 2, 72) (dual of [(63, 2), 5, 73]-NRT-code)	[i]
14	Linear OOA(2²²⁴, 115, F₂, 2, 141) (dual of [(115, 2), 6, 142]-NRT-code)	[i]		Juxtaposition for OOAs
15	Linear OOA(2²²⁶, 116, F₂, 2, 143) (dual of [(116, 2), 6, 144]-NRT-code)	[i]		Juxtaposition for OOAs