MinT - Information on Result #2428935

Information on Result #2428935

Linear OOA(2²⁵², 136, F₂, 2, 128) (dual of [(136, 2), 20, 129]-NRT-code), using strength reduction based on linear OOA(2²⁵², 136, F₂, 2, 129) (dual of [(136, 2), 20, 130]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
  - extended Reedâ€“Solomon code RS_e(5,16) [i]
2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [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(2²⁵⁴, 137, F₂, 2, 128) (dual of [(137, 2), 20, 129]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2²⁵⁶, 138, F₂, 2, 128) (dual of [(138, 2), 20, 129]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁵³, 136, F₂, 2, 128) (dual of [(136, 2), 19, 129]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(2²⁵¹, 135, F₂, 2, 127) (dual of [(135, 2), 19, 128]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(2²⁵⁰, 135, F₂, 2, 126) (dual of [(135, 2), 20, 127]-NRT-code)	[i]
6	Linear OOA(2²⁴⁹, 134, F₂, 2, 125) (dual of [(134, 2), 19, 126]-NRT-code)	[i]
7	Linear OOA(2²⁴⁸, 134, F₂, 2, 124) (dual of [(134, 2), 20, 125]-NRT-code)	[i]
8	Linear OOA(2²⁴⁷, 133, F₂, 2, 123) (dual of [(133, 2), 19, 124]-NRT-code)	[i]
9	Linear OOA(2²⁴⁶, 133, F₂, 2, 122) (dual of [(133, 2), 20, 123]-NRT-code)	[i]
10	Linear OOA(2²⁴⁵, 132, F₂, 2, 121) (dual of [(132, 2), 19, 122]-NRT-code)	[i]
11	Linear OOA(2²⁴⁴, 132, F₂, 2, 120) (dual of [(132, 2), 20, 121]-NRT-code)	[i]
12	Linear OOA(2²⁵², 68, F₂, 4, 128) (dual of [(68, 4), 20, 129]-NRT-code)	[i]	OOA Folding