Information on Result #1722686
Digital (43, 59, 303)-net over F5, using net defined by OOA based on linear OOA(559, 303, F5, 21, 16) (dual of [(303, 21), 6304, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(559, 910, F5, 3, 16) (dual of [(910, 3), 2671, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(559, 911, F5, 3, 16) (dual of [(911, 3), 2674, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(559, 911, F5, 16) (dual of [911, 852, 17]-code), using
- 276 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 33 times 0, 1, 51 times 0, 1, 70 times 0, 1, 85 times 0) [i] based on linear OA(549, 625, F5, 16) (dual of [625, 576, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 276 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 33 times 0, 1, 51 times 0, 1, 70 times 0, 1, 85 times 0) [i] based on linear OA(549, 625, F5, 16) (dual of [625, 576, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(559, 911, F5, 16) (dual of [911, 852, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(559, 911, F5, 3, 16) (dual of [(911, 3), 2674, 17]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.