Information on Result #634967
Linear OA(4100, 110, F4, 67) (dual of [110, 10, 68]-code), using concatenation of two codes based on
- linear OA(1617, 22, F16, 16) (dual of [22, 5, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- 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]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4100, 110, F4, 66) (dual of [110, 10, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4100, 110, F4, 65) (dual of [110, 10, 66]-code) | [i] | ||
| 3 | Linear OA(499, 109, F4, 66) (dual of [109, 10, 67]-code) | [i] | Truncation | |
| 4 | Linear OA(498, 108, F4, 65) (dual of [108, 10, 66]-code) | [i] | ||
| 5 | Linear OA(497, 107, F4, 64) (dual of [107, 10, 65]-code) | [i] | ||
| 6 | Linear OA(496, 106, F4, 63) (dual of [106, 10, 64]-code) | [i] | ||
| 7 | Linear OA(494, 104, F4, 61) (dual of [104, 10, 62]-code) | [i] | ||
| 8 | Linear OA(493, 103, F4, 60) (dual of [103, 10, 61]-code) | [i] | ||
| 9 | Linear OA(491, 101, F4, 58) (dual of [101, 10, 59]-code) | [i] | ||
| 10 | Linear OA(489, 99, F4, 56) (dual of [99, 10, 57]-code) | [i] | ||
| 11 | Linear OOA(4100, 55, F4, 2, 67) (dual of [(55, 2), 10, 68]-NRT-code) | [i] | OOA Folding | |