Information on Result #622236

Linear OA(914, 20, F9, 12) (dual of [20, 6, 13]-code), using extended algebraic-geometric code AGe(F,7P) based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, 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(981, 750, F9, 25) (dual of [750, 669, 26]-code) [i](u, u+v)-Construction
2Linear OA(9125, 59070, F9, 25) (dual of [59070, 58945, 26]-code) [i]
3Linear OA(978, 749, F9, 24) (dual of [749, 671, 25]-code) [i]
4Linear OA(9120, 59069, F9, 24) (dual of [59069, 58949, 25]-code) [i]
5Linear OA(942, 48, F9, 32) (dual of [48, 6, 33]-code) [i]Juxtaposition
6Linear OA(9115, 121, F9, 92) (dual of [121, 6, 93]-code) [i]
7Linear OA(9117, 123, F9, 93) (dual of [123, 6, 94]-code) [i]
8Linear OA(942, 47, F9, 33) (dual of [47, 5, 34]-code) [i]
9Linear OA(9115, 120, F9, 93) (dual of [120, 5, 94]-code) [i]
10Linear OA(996, 100, F9, 84) (dual of [100, 4, 85]-code) [i]
11Linear OA(9112, 116, F9, 96) (dual of [116, 4, 97]-code) [i]
12Linear OA(9142, 148, F9, 116) (dual of [148, 6, 117]-code) [i]
13Linear OA(348, 60, F3, 25) (dual of [60, 12, 26]-code) [i]Concatenation of Two Codes
14Linear OOA(3108, 60, F3, 2, 64) (dual of [(60, 2), 12, 65]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(3100, 54, F3, 2, 64) (dual of [(54, 2), 8, 65]-NRT-code) [i]
16Linear OA(993, 100, F9, 74) (dual of [100, 7, 75]-code) [i]Construction X with Cyclic Codes
17Linear OA(9104, 111, F9, 83) (dual of [111, 7, 84]-code) [i]
18Linear OA(991, 101, F9, 66) (dual of [101, 10, 67]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
19Linear OA(995, 102, F9, 75) (dual of [102, 7, 76]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes