Information on Result #941648
Linear OOA(2150, 77, F2, 2, 100) (dual of [(77, 2), 4, 101]-NRT-code), using juxtaposition based on
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2140, 72, F2, 2, 94) (dual of [(72, 2), 4, 95]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(422, 24, F4, 18) (dual of [24, 2, 19]-code), using
- 1 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 1 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(422, 24, F4, 18) (dual of [24, 2, 19]-code), using
- concatenation of two NRT-codes [i] based on
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(2150, 77, F2, 2, 99) (dual of [(77, 2), 4, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2150, 77, F2, 2, 98) (dual of [(77, 2), 4, 99]-NRT-code) | [i] | ||
| 3 | Linear OOA(2150, 77, F2, 2, 97) (dual of [(77, 2), 4, 98]-NRT-code) | [i] | ||
| 4 | Linear OOA(2150, 77, F2, 2, 96) (dual of [(77, 2), 4, 97]-NRT-code) | [i] | ||
| 5 | Linear OOA(2148, 76, F2, 2, 98) (dual of [(76, 2), 4, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2145, 74, F2, 2, 95) (dual of [(74, 2), 3, 96]-NRT-code) | [i] | ||
| 7 | Linear OOA(2144, 74, F2, 2, 94) (dual of [(74, 2), 4, 95]-NRT-code) | [i] | ||
| 8 | Linear OOA(2142, 73, F2, 2, 92) (dual of [(73, 2), 4, 93]-NRT-code) | [i] | ||
| 9 | Linear OOA(2160, 82, F2, 2, 106) (dual of [(82, 2), 4, 107]-NRT-code) | [i] | Juxtaposition for OOAs | |