Information on Result #893726
Linear OOA(211, 8, F2, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using an explicit generator matrix by Edel
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(227, 16, F2, 2, 17) (dual of [(16, 2), 5, 18]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(243, 24, F2, 2, 26) (dual of [(24, 2), 5, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(259, 32, F2, 2, 35) (dual of [(32, 2), 5, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(275, 40, F2, 2, 44) (dual of [(40, 2), 5, 45]-NRT-code) | [i] | ||
| 5 | Linear OOA(291, 48, F2, 2, 53) (dual of [(48, 2), 5, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(2107, 56, F2, 2, 62) (dual of [(56, 2), 5, 63]-NRT-code) | [i] | ||
| 7 | Linear OOA(2123, 64, F2, 2, 71) (dual of [(64, 2), 5, 72]-NRT-code) | [i] | ||
| 8 | Linear OOA(2139, 72, F2, 2, 80) (dual of [(72, 2), 5, 81]-NRT-code) | [i] | ||
| 9 | Linear OOA(2155, 80, F2, 2, 89) (dual of [(80, 2), 5, 90]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 88, F2, 2, 98) (dual of [(88, 2), 5, 99]-NRT-code) | [i] | ||
| 11 | Linear OOA(2187, 96, F2, 2, 107) (dual of [(96, 2), 5, 108]-NRT-code) | [i] | ||
| 12 | Linear OOA(2203, 104, F2, 2, 116) (dual of [(104, 2), 5, 117]-NRT-code) | [i] | ||
| 13 | Linear OOA(2219, 112, F2, 2, 125) (dual of [(112, 2), 5, 126]-NRT-code) | [i] | ||
| 14 | Linear OOA(2235, 120, F2, 2, 134) (dual of [(120, 2), 5, 135]-NRT-code) | [i] | ||
| 15 | Linear OOA(2251, 128, F2, 2, 143) (dual of [(128, 2), 5, 144]-NRT-code) | [i] | ||
| 16 | Linear OOA(227, 16, F2, 2, 16) (dual of [(16, 2), 5, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 17 | Linear OOA(228, 17, F2, 2, 16) (dual of [(17, 2), 6, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(2195, 4194309, F2, 2, 16) (dual of [(4194309, 2), 8388423, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(228, 17, F2, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(2196, 4194309, F2, 2, 17) (dual of [(4194309, 2), 8388422, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(223, 14, F2, 2, 14) (dual of [(14, 2), 5, 15]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 22 | Linear OOA(233, 19, F2, 2, 20) (dual of [(19, 2), 5, 21]-NRT-code) | [i] | ||
| 23 | Linear OOA(247, 26, F2, 2, 28) (dual of [(26, 2), 5, 29]-NRT-code) | [i] | ||
| 24 | Linear OOA(249, 27, F2, 2, 29) (dual of [(27, 2), 5, 30]-NRT-code) | [i] | ||
| 25 | Linear OOA(263, 34, F2, 2, 37) (dual of [(34, 2), 5, 38]-NRT-code) | [i] | ||
| 26 | Linear OOA(265, 35, F2, 2, 38) (dual of [(35, 2), 5, 39]-NRT-code) | [i] | ||
| 27 | Linear OOA(279, 42, F2, 2, 46) (dual of [(42, 2), 5, 47]-NRT-code) | [i] | ||
| 28 | Linear OOA(281, 43, F2, 2, 47) (dual of [(43, 2), 5, 48]-NRT-code) | [i] | ||
| 29 | Linear OOA(283, 44, F2, 2, 48) (dual of [(44, 2), 5, 49]-NRT-code) | [i] | ||
| 30 | Linear OOA(295, 50, F2, 2, 55) (dual of [(50, 2), 5, 56]-NRT-code) | [i] | ||
| 31 | Linear OOA(297, 51, F2, 2, 56) (dual of [(51, 2), 5, 57]-NRT-code) | [i] | ||
| 32 | Linear OOA(299, 52, F2, 2, 57) (dual of [(52, 2), 5, 58]-NRT-code) | [i] | ||
| 33 | Linear OOA(2111, 58, F2, 2, 64) (dual of [(58, 2), 5, 65]-NRT-code) | [i] | ||
| 34 | Linear OOA(2113, 59, F2, 2, 65) (dual of [(59, 2), 5, 66]-NRT-code) | [i] | ||
| 35 | Linear OOA(2115, 60, F2, 2, 66) (dual of [(60, 2), 5, 67]-NRT-code) | [i] | ||
| 36 | Linear OOA(2127, 66, F2, 2, 73) (dual of [(66, 2), 5, 74]-NRT-code) | [i] | ||
| 37 | Linear OOA(2129, 67, F2, 2, 74) (dual of [(67, 2), 5, 75]-NRT-code) | [i] | ||
| 38 | Linear OOA(2131, 68, F2, 2, 75) (dual of [(68, 2), 5, 76]-NRT-code) | [i] | ||
| 39 | Linear OOA(2143, 74, F2, 2, 82) (dual of [(74, 2), 5, 83]-NRT-code) | [i] | ||
| 40 | Linear OOA(2145, 75, F2, 2, 83) (dual of [(75, 2), 5, 84]-NRT-code) | [i] | ||
| 41 | Linear OOA(2147, 76, F2, 2, 84) (dual of [(76, 2), 5, 85]-NRT-code) | [i] | ||
| 42 | Linear OOA(2159, 82, F2, 2, 91) (dual of [(82, 2), 5, 92]-NRT-code) | [i] | ||
| 43 | Linear OOA(2161, 83, F2, 2, 92) (dual of [(83, 2), 5, 93]-NRT-code) | [i] | ||
| 44 | Linear OOA(2163, 84, F2, 2, 93) (dual of [(84, 2), 5, 94]-NRT-code) | [i] | ||
| 45 | Linear OOA(2175, 90, F2, 2, 100) (dual of [(90, 2), 5, 101]-NRT-code) | [i] | ||
| 46 | Linear OOA(2177, 91, F2, 2, 101) (dual of [(91, 2), 5, 102]-NRT-code) | [i] | ||
| 47 | Linear OOA(2179, 92, F2, 2, 102) (dual of [(92, 2), 5, 103]-NRT-code) | [i] | ||
| 48 | Linear OOA(2191, 98, F2, 2, 109) (dual of [(98, 2), 5, 110]-NRT-code) | [i] | ||
| 49 | Linear OOA(2193, 99, F2, 2, 110) (dual of [(99, 2), 5, 111]-NRT-code) | [i] | ||
| 50 | Linear OOA(2195, 100, F2, 2, 111) (dual of [(100, 2), 5, 112]-NRT-code) | [i] | ||
| 51 | Linear OOA(2207, 106, F2, 2, 118) (dual of [(106, 2), 5, 119]-NRT-code) | [i] | ||
| 52 | Linear OOA(2209, 107, F2, 2, 119) (dual of [(107, 2), 5, 120]-NRT-code) | [i] | ||
| 53 | Linear OOA(2211, 108, F2, 2, 120) (dual of [(108, 2), 5, 121]-NRT-code) | [i] | ||
| 54 | Linear OOA(2223, 114, F2, 2, 127) (dual of [(114, 2), 5, 128]-NRT-code) | [i] | ||
| 55 | Linear OOA(2225, 115, F2, 2, 128) (dual of [(115, 2), 5, 129]-NRT-code) | [i] | ||
| 56 | Linear OOA(2227, 116, F2, 2, 129) (dual of [(116, 2), 5, 130]-NRT-code) | [i] | ||
| 57 | Linear OOA(2239, 122, F2, 2, 136) (dual of [(122, 2), 5, 137]-NRT-code) | [i] | ||
| 58 | Linear OOA(2241, 123, F2, 2, 137) (dual of [(123, 2), 5, 138]-NRT-code) | [i] | ||
| 59 | Linear OOA(2243, 124, F2, 2, 138) (dual of [(124, 2), 5, 139]-NRT-code) | [i] | ||
| 60 | Linear OOA(2255, 130, F2, 2, 145) (dual of [(130, 2), 5, 146]-NRT-code) | [i] | ||
| 61 | Linear OOA(2257, 131, F2, 2, 146) (dual of [(131, 2), 5, 147]-NRT-code) | [i] | ||
| 62 | Linear OOA(2259, 132, F2, 2, 147) (dual of [(132, 2), 5, 148]-NRT-code) | [i] | ||
| 63 | Linear OOA(2105, 55, F2, 2, 67) (dual of [(55, 2), 5, 68]-NRT-code) | [i] | ||
| 64 | Linear OOA(2135, 70, F2, 2, 87) (dual of [(70, 2), 5, 88]-NRT-code) | [i] | ||
| 65 | Linear OOA(2137, 71, F2, 2, 88) (dual of [(71, 2), 5, 89]-NRT-code) | [i] | ||
| 66 | Linear OOA(2145, 75, F2, 2, 92) (dual of [(75, 2), 5, 93]-NRT-code) | [i] | ||
| 67 | Linear OOA(2147, 76, F2, 2, 93) (dual of [(76, 2), 5, 94]-NRT-code) | [i] | ||
| 68 | Linear OOA(2151, 78, F2, 2, 96) (dual of [(78, 2), 5, 97]-NRT-code) | [i] | ||
| 69 | Linear OOA(2153, 79, F2, 2, 97) (dual of [(79, 2), 5, 98]-NRT-code) | [i] | ||
| 70 | Linear OOA(2259, 132, F2, 2, 166) (dual of [(132, 2), 5, 167]-NRT-code) | [i] | ||
| 71 | Linear OOA(2231, 128, F2, 2, 107) (dual of [(128, 2), 25, 108]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 72 | Linear OOA(2247, 136, F2, 2, 116) (dual of [(136, 2), 25, 117]-NRT-code) | [i] | ||
| 73 | Linear OOA(211, 4, F2, 4, 8) (dual of [(4, 4), 5, 9]-NRT-code) | [i] | OOA Folding | |