Information on Result #941752
Linear OOA(3170, 87, F3, 2, 135) (dual of [(87, 2), 4, 136]-NRT-code), using juxtaposition based on
- linear OOA(310, 7, F3, 2, 9) (dual of [(7, 2), 4, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3156, 80, F3, 2, 125) (dual of [(80, 2), 4, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), using
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-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(3170, 87, F3, 2, 134) (dual of [(87, 2), 4, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3158, 81, F3, 2, 123) (dual of [(81, 2), 4, 124]-NRT-code) | [i] | Truncation for OOAs | |
3 | Linear OOA(3154, 79, F3, 2, 119) (dual of [(79, 2), 4, 120]-NRT-code) | [i] | ||
4 | Linear OOA(3152, 78, F3, 2, 117) (dual of [(78, 2), 4, 118]-NRT-code) | [i] | ||
5 | Linear OOA(3150, 77, F3, 2, 115) (dual of [(77, 2), 4, 116]-NRT-code) | [i] | ||
6 | Linear OOA(3147, 75, F3, 2, 112) (dual of [(75, 2), 3, 113]-NRT-code) | [i] | ||
7 | Linear OOA(3146, 75, F3, 2, 111) (dual of [(75, 2), 4, 112]-NRT-code) | [i] | ||
8 | Linear OOA(3144, 74, F3, 2, 109) (dual of [(74, 2), 4, 110]-NRT-code) | [i] | ||
9 | Linear OOA(3142, 73, F3, 2, 107) (dual of [(73, 2), 4, 108]-NRT-code) | [i] | ||
10 | Linear OOA(3138, 71, F3, 2, 103) (dual of [(71, 2), 4, 104]-NRT-code) | [i] | ||
11 | Linear OOA(3136, 70, F3, 2, 101) (dual of [(70, 2), 4, 102]-NRT-code) | [i] | ||
12 | Linear OOA(3135, 69, F3, 2, 100) (dual of [(69, 2), 3, 101]-NRT-code) | [i] | ||
13 | Linear OOA(3184, 94, F3, 2, 145) (dual of [(94, 2), 4, 146]-NRT-code) | [i] | Juxtaposition for OOAs | |
14 | Linear OOA(3186, 95, F3, 2, 146) (dual of [(95, 2), 4, 147]-NRT-code) | [i] | ||
15 | Linear OOA(3190, 97, F3, 2, 149) (dual of [(97, 2), 4, 150]-NRT-code) | [i] | ||
16 | Linear OOA(3194, 99, F3, 2, 152) (dual of [(99, 2), 4, 153]-NRT-code) | [i] |