Information on Result #1717638
Digital (55, 67, 7098)-net over F4, using net defined by OOA based on linear OOA(467, 7098, F4, 15, 12) (dual of [(7098, 15), 106403, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(467, 14197, F4, 3, 12) (dual of [(14197, 3), 42524, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(467, 14198, F4, 3, 12) (dual of [(14198, 3), 42527, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(467, 14198, F4, 12) (dual of [14198, 14131, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(467, 16405, F4, 12) (dual of [16405, 16338, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(467, 16405, F4, 12) (dual of [16405, 16338, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(467, 14198, F4, 12) (dual of [14198, 14131, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(467, 14198, F4, 3, 12) (dual of [(14198, 3), 42527, 13]-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.