MinT - Information on Result #2768157

Information on Result #2768157

Linear OOA(2²⁵⁸, 72, F₂, 4, 149) (dual of [(72, 4), 30, 150]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 72, F₂, 4, 151) (dual of [(72, 4), 30, 152]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁸, 24, F₃₂, 18) (dual of [24, 6, 19]-code or 24-arc in PG(17,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁸, 32, F₃₂, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), using
    - Reedâ€“Solomon code RS(14,32) [i]
2. linear OOA(2⁷, 3, F₂, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;5,2) [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		Method
1	Linear OOA(2²⁵⁹, 72, F₂, 4, 149) (dual of [(72, 4), 29, 150]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²⁵⁷, 71, F₂, 4, 148) (dual of [(71, 4), 27, 149]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²⁵⁶, 71, F₂, 4, 147) (dual of [(71, 4), 28, 148]-NRT-code)	[i]
4	Linear OOA(2²⁵⁵, 71, F₂, 4, 146) (dual of [(71, 4), 29, 147]-NRT-code)	[i]
5	Linear OOA(2²⁵⁴, 71, F₂, 4, 145) (dual of [(71, 4), 30, 146]-NRT-code)	[i]
6	Linear OOA(2²⁵³, 70, F₂, 4, 144) (dual of [(70, 4), 27, 145]-NRT-code)	[i]
7	Linear OOA(2²⁵², 70, F₂, 4, 143) (dual of [(70, 4), 28, 144]-NRT-code)	[i]
8	Linear OOA(2²⁵¹, 70, F₂, 4, 142) (dual of [(70, 4), 29, 143]-NRT-code)	[i]
9	Linear OOA(2²⁵⁰, 70, F₂, 4, 141) (dual of [(70, 4), 30, 142]-NRT-code)	[i]
10	Linear OOA(2²⁴⁹, 69, F₂, 4, 140) (dual of [(69, 4), 27, 141]-NRT-code)	[i]
11	Linear OOA(2²⁴⁷, 69, F₂, 4, 138) (dual of [(69, 4), 29, 139]-NRT-code)	[i]
12	Linear OOA(2²⁴⁵, 68, F₂, 4, 136) (dual of [(68, 4), 27, 137]-NRT-code)	[i]
13	Linear OOA(2²⁵⁸, 36, F₂, 8, 149) (dual of [(36, 8), 30, 150]-NRT-code)	[i]	OOA Folding