Information on Result #1729042
Digital (88, 114, 5001)-net over F8, using net defined by OOA based on linear OOA(8114, 5001, F8, 33, 26) (dual of [(5001, 33), 164919, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8114, 25006, F8, 3, 26) (dual of [(25006, 3), 74904, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 25007, F8, 3, 26) (dual of [(25007, 3), 74907, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 25007, F8, 26) (dual of [25007, 24893, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8114, 32781, F8, 26) (dual of [32781, 32667, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(83, 13, F8, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(8114, 32781, F8, 26) (dual of [32781, 32667, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 25007, F8, 26) (dual of [25007, 24893, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 25007, F8, 3, 26) (dual of [(25007, 3), 74907, 27]-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.