Information on Result #887045

Linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with known gap numbers based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(8123, 64, F8, 2, 113) (dual of [(64, 2), 5, 114]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8123, 64, F8, 2, 112) (dual of [(64, 2), 5, 113]-NRT-code) [i]
3Linear OOA(8133, 69, F8, 2, 120) (dual of [(69, 2), 5, 121]-NRT-code) [i]Juxtaposition for OOAs
4Linear OOA(8127, 66, F8, 2, 117) (dual of [(66, 2), 5, 118]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
5Linear OOA(8127, 67, F8, 2, 114) (dual of [(67, 2), 7, 115]-NRT-code) [i]✔
6Linear OOA(8129, 67, F8, 2, 118) (dual of [(67, 2), 5, 119]-NRT-code) [i]✔
7Linear OOA(8128, 68, F8, 2, 113) (dual of [(68, 2), 8, 114]-NRT-code) [i]✔
8Linear OOA(8139, 72, F8, 2, 127) (dual of [(72, 2), 5, 128]-NRT-code) [i]✔
9Linear OOA(8130, 69, F8, 2, 114) (dual of [(69, 2), 8, 115]-NRT-code) [i]✔
10Linear OOA(8129, 69, F8, 2, 113) (dual of [(69, 2), 9, 114]-NRT-code) [i]✔
11Linear OOA(8131, 70, F8, 2, 114) (dual of [(70, 2), 9, 115]-NRT-code) [i]✔
12Linear OOA(8130, 70, F8, 2, 113) (dual of [(70, 2), 10, 114]-NRT-code) [i]✔
13Linear OOA(8132, 71, F8, 2, 114) (dual of [(71, 2), 10, 115]-NRT-code) [i]✔
14Linear OOA(8131, 71, F8, 2, 113) (dual of [(71, 2), 11, 114]-NRT-code) [i]✔
15Linear OOA(8133, 72, F8, 2, 114) (dual of [(72, 2), 11, 115]-NRT-code) [i]✔
16Linear OOA(8132, 72, F8, 2, 113) (dual of [(72, 2), 12, 114]-NRT-code) [i]✔
17Linear OOA(8134, 73, F8, 2, 114) (dual of [(73, 2), 12, 115]-NRT-code) [i]✔
18Linear OOA(8135, 74, F8, 2, 114) (dual of [(74, 2), 13, 115]-NRT-code) [i]✔
19Linear OOA(8133, 73, F8, 2, 113) (dual of [(73, 2), 13, 114]-NRT-code) [i]✔
20Linear OOA(8136, 75, F8, 2, 114) (dual of [(75, 2), 14, 115]-NRT-code) [i]✔
21Linear OOA(8137, 76, F8, 2, 113) (dual of [(76, 2), 15, 114]-NRT-code) [i]✔
22Linear OOA(8139, 77, F8, 2, 114) (dual of [(77, 2), 15, 115]-NRT-code) [i]✔
23Linear OOA(8138, 77, F8, 2, 113) (dual of [(77, 2), 16, 114]-NRT-code) [i]✔
24Linear OOA(8140, 78, F8, 2, 114) (dual of [(78, 2), 16, 115]-NRT-code) [i]✔
25Linear OOA(8141, 79, F8, 2, 114) (dual of [(79, 2), 17, 115]-NRT-code) [i]✔
26Linear OOA(8139, 78, F8, 2, 113) (dual of [(78, 2), 17, 114]-NRT-code) [i]✔
27Linear OOA(8142, 80, F8, 2, 114) (dual of [(80, 2), 18, 115]-NRT-code) [i]✔
28Linear OOA(8143, 81, F8, 2, 114) (dual of [(81, 2), 19, 115]-NRT-code) [i]✔
29Linear OOA(8144, 82, F8, 2, 113) (dual of [(82, 2), 20, 114]-NRT-code) [i]✔
30Linear OOA(8142, 81, F8, 2, 112) (dual of [(81, 2), 20, 113]-NRT-code) [i]✔
31Linear OOA(8146, 83, F8, 2, 114) (dual of [(83, 2), 20, 115]-NRT-code) [i]✔
32Linear OOA(8145, 83, F8, 2, 113) (dual of [(83, 2), 21, 114]-NRT-code) [i]✔
33Linear OOA(8147, 84, F8, 2, 114) (dual of [(84, 2), 21, 115]-NRT-code) [i]✔
34Linear OOA(8146, 84, F8, 2, 113) (dual of [(84, 2), 22, 114]-NRT-code) [i]✔
35Linear OOA(8148, 85, F8, 2, 114) (dual of [(85, 2), 22, 115]-NRT-code) [i]✔
36Linear OOA(8147, 85, F8, 2, 113) (dual of [(85, 2), 23, 114]-NRT-code) [i]✔
37Linear OOA(8149, 86, F8, 2, 114) (dual of [(86, 2), 23, 115]-NRT-code) [i]✔
38Linear OOA(8148, 86, F8, 2, 113) (dual of [(86, 2), 24, 114]-NRT-code) [i]✔
39Linear OOA(8150, 87, F8, 2, 114) (dual of [(87, 2), 24, 115]-NRT-code) [i]✔
40Linear OOA(8149, 87, F8, 2, 113) (dual of [(87, 2), 25, 114]-NRT-code) [i]✔
41Linear OOA(8125, 65, F8, 2, 116) (dual of [(65, 2), 5, 117]-NRT-code) [i]✔Standard Lengthening for NRT-Codes