Information on Result #941998
Linear OOA(4214, 109, F4, 2, 179) (dual of [(109, 2), 4, 180]-NRT-code), using juxtaposition based on
- linear OOA(412, 8, F4, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
- linear OOA(4198, 101, F4, 2, 167) (dual of [(101, 2), 4, 168]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(412, 8, F4, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code) (see above)
- linear OOA(4182, 93, F4, 2, 155) (dual of [(93, 2), 4, 156]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(412, 8, F4, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code) (see above)
- linear OOA(4166, 85, F4, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- extended Reed–Solomon code RSe(2,16) [i]
- Simplex code S(2,16) [i]
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
- juxtaposition [i] based on
- 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(4214, 109, F4, 2, 178) (dual of [(109, 2), 4, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4214, 109, F4, 2, 177) (dual of [(109, 2), 4, 178]-NRT-code) | [i] | ||
| 3 | Linear OOA(4214, 109, F4, 2, 176) (dual of [(109, 2), 4, 177]-NRT-code) | [i] | ||
| 4 | Linear OOA(4214, 109, F4, 2, 175) (dual of [(109, 2), 4, 176]-NRT-code) | [i] | ||
| 5 | Linear OOA(4214, 109, F4, 2, 174) (dual of [(109, 2), 4, 175]-NRT-code) | [i] | ||
| 6 | Linear OOA(4214, 109, F4, 2, 173) (dual of [(109, 2), 4, 174]-NRT-code) | [i] | ||
| 7 | Linear OOA(4214, 109, F4, 2, 172) (dual of [(109, 2), 4, 173]-NRT-code) | [i] | ||