MinT - Information on Result #2848779

Information on Result #2848779

Linear OOA(2²⁵⁸, 52, F₂, 5, 234) (dual of [(52, 5), 2, 235]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 52, F₂, 5, 239) (dual of [(52, 5), 2, 240]-NRT-code), using

repeating each code word 4 times [i] based on linear OOA(2⁶³, 13, F₂, 5, 59) (dual of [(13, 5), 2, 60]-NRT-code), using
- 10 step truncation [i] based on linear OOA(2⁷³, 15, F₂, 5, 69) (dual of [(15, 5), 2, 70]-NRT-code), using
  - repeating each code word 5 times [i] based on linear OOA(2¹³, 3, F₂, 5, 13) (dual of [(3, 5), 2, 14]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;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		Method
1	Linear OOA(2²⁵⁷, 51, F₂, 5, 233)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵⁶, 51, F₂, 5, 232)	[i]
3	Linear OOA(2²⁵², 50, F₂, 5, 228)	[i]
4	Linear OOA(2²⁵¹, 50, F₂, 5, 227)	[i]
5	Linear OOA(2²⁴⁷, 49, F₂, 5, 223)	[i]
6	Linear OOA(2²⁴⁶, 49, F₂, 5, 222)	[i]
7	Linear OOA(2²⁴³, 49, F₂, 5, 219) (dual of [(49, 5), 2, 220]-NRT-code)	[i]
8	Linear OOA(2²⁴², 48, F₂, 5, 218)	[i]
9	Linear OOA(2²⁴¹, 48, F₂, 5, 217)	[i]
10	Linear OOA(2²³⁷, 47, F₂, 5, 213)	[i]
11	Linear OOA(2²³⁶, 47, F₂, 5, 212)	[i]
12	Linear OOA(2²³³, 47, F₂, 5, 209) (dual of [(47, 5), 2, 210]-NRT-code)	[i]
13	Linear OOA(2²³², 46, F₂, 5, 208)	[i]
14	Linear OOA(2²³¹, 46, F₂, 5, 207)	[i]
15	Linear OOA(2²²⁷, 45, F₂, 5, 203)	[i]
16	Linear OOA(2²²⁶, 45, F₂, 5, 202)	[i]
17	Linear OOA(2²²², 44, F₂, 5, 198)	[i]
18	Linear OOA(2²²¹, 44, F₂, 5, 197)	[i]
19	Linear OOA(2²¹⁷, 43, F₂, 5, 193)	[i]
20	Linear OOA(2²¹⁶, 43, F₂, 5, 192)	[i]
21	Linear OOA(2²¹³, 43, F₂, 5, 189) (dual of [(43, 5), 2, 190]-NRT-code)	[i]