Information on Result #1161643
Linear OOA(2109, 16, F2, 7, 101) (dual of [(16, 7), 3, 102]-NRT-code), using juxtaposition based on
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;3,2) [i]
- linear OOA(288, 13, F2, 7, 82) (dual of [(13, 7), 3, 83]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code) (see above)
- linear OOA(267, 10, F2, 7, 63) (dual of [(10, 7), 3, 64]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 2 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- juxtaposition [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(2109, 16, F2, 7, 100) (dual of [(16, 7), 3, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 16, F2, 7, 99) (dual of [(16, 7), 3, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(2109, 16, F2, 7, 98) (dual of [(16, 7), 3, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(2109, 16, F2, 7, 97) (dual of [(16, 7), 3, 98]-NRT-code) | [i] | ||
| 5 | Linear OOA(2109, 16, F2, 7, 96) (dual of [(16, 7), 3, 97]-NRT-code) | [i] | ||
| 6 | Linear OOA(2108, 15, F2, 7, 100) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2107, 15, F2, 7, 99) | [i] | ||
| 8 | Linear OOA(2106, 15, F2, 7, 98) | [i] | ||
| 9 | Linear OOA(2101, 14, F2, 7, 93) | [i] | ||
| 10 | Linear OOA(2100, 14, F2, 7, 92) | [i] | ||
| 11 | Linear OOA(299, 14, F2, 7, 91) | [i] | ||
| 12 | Linear OOA(295, 14, F2, 7, 87) (dual of [(14, 7), 3, 88]-NRT-code) | [i] | ||
| 13 | Linear OOA(294, 13, F2, 7, 86) | [i] | ||
| 14 | Linear OOA(293, 13, F2, 7, 85) | [i] | ||
| 15 | Linear OOA(292, 13, F2, 7, 84) | [i] | ||
| 16 | Linear OOA(289, 13, F2, 7, 81) (dual of [(13, 7), 2, 82]-NRT-code) | [i] | ||