Information on Result #1177473
Linear OOA(2260, 33, F2, 8, 235) (dual of [(33, 8), 4, 236]-NRT-code), using juxtaposition based on
- linear OOA(228, 4, F2, 8, 27) (dual of [(4, 8), 4, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(228, 5, F2, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,12P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(228, 5, F2, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code), using
- linear OOA(2228, 29, F2, 8, 207) (dual of [(29, 8), 4, 208]-NRT-code), using
- 8 step truncation [i] based on linear OOA(2236, 30, F2, 8, 215) (dual of [(30, 8), 4, 216]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(236, 5, F2, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5 (see above)
- repeating each code word 6 times [i] based on linear OOA(236, 5, F2, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
- 8 step truncation [i] based on linear OOA(2236, 30, F2, 8, 215) (dual of [(30, 8), 4, 216]-NRT-code), using
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(2260, 33, F2, 8, 234) (dual of [(33, 8), 4, 235]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2259, 32, F2, 8, 234) | [i] | Truncation for OOAs | |
3 | Linear OOA(2258, 32, F2, 8, 233) | [i] | ||
4 | Linear OOA(2257, 32, F2, 8, 232) | [i] | ||
5 | Linear OOA(2251, 31, F2, 8, 226) | [i] | ||
6 | Linear OOA(2250, 31, F2, 8, 225) | [i] | ||
7 | Linear OOA(2249, 31, F2, 8, 224) | [i] | ||
8 | Linear OOA(2243, 30, F2, 8, 218) | [i] | ||
9 | Linear OOA(2242, 30, F2, 8, 217) | [i] | ||
10 | Linear OOA(2241, 30, F2, 8, 216) | [i] | ||
11 | Linear OOA(2235, 29, F2, 8, 210) | [i] | ||
12 | Linear OOA(2234, 29, F2, 8, 209) | [i] | ||
13 | Linear OOA(2233, 29, F2, 8, 208) | [i] | ||
14 | Linear OOA(2229, 29, F2, 8, 204) (dual of [(29, 8), 3, 205]-NRT-code) | [i] | ||
15 | Linear OOA(2228, 29, F2, 8, 203) (dual of [(29, 8), 4, 204]-NRT-code) | [i] |