Information on Result #622261

Linear OA(918, 30, F9, 14) (dual of [30, 12, 15]-code), using extended algebraic-geometric code AGe(F,15P) based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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.

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:

ResultThis
result
only
Method
1Linear OA(994, 759, F9, 29) (dual of [759, 665, 30]-code) [i](u, u+v)-Construction
2Linear OA(9144, 59079, F9, 29) (dual of [59079, 58935, 30]-code) [i]
3Linear OA(991, 759, F9, 28) (dual of [759, 668, 29]-code) [i]
4Linear OA(9139, 59079, F9, 28) (dual of [59079, 58940, 29]-code) [i]
5Linear OA(366, 90, F3, 29) (dual of [90, 24, 30]-code) [i]Concatenation of Two Codes
6Linear OA(396, 120, F3, 44) (dual of [120, 24, 45]-code) [i]
7Linear OA(991, 112, F9, 58) (dual of [112, 21, 59]-code) [i]Construction X with Cyclic Codes
8Linear OA(9104, 125, F9, 64) (dual of [125, 21, 65]-code) [i]Construction XX with Cyclic Codes
9Linear OA(9105, 126, F9, 65) (dual of [126, 21, 66]-code) [i]
10Linear OA(9111, 127, F9, 74) (dual of [127, 16, 75]-code) [i]
11Linear OA(995, 111, F9, 65) (dual of [111, 16, 66]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
12Linear OA(983, 111, F9, 49) (dual of [111, 28, 50]-code) [i]
13Linear OA(996, 112, F9, 66) (dual of [112, 16, 67]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(984, 112, F9, 50) (dual of [112, 28, 51]-code) [i]
15Linear OOA(918, 15, F9, 2, 14) (dual of [(15, 2), 12, 15]-NRT-code) [i]OOA Folding