Information on Result #1718998
Digital (106, 129, 3376)-net over F4, using net defined by OOA based on linear OOA(4129, 3376, F4, 27, 23) (dual of [(3376, 27), 91023, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4129, 13505, F4, 3, 23) (dual of [(13505, 3), 40386, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4129, 13506, F4, 3, 23) (dual of [(13506, 3), 40389, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4129, 13506, F4, 23) (dual of [13506, 13377, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4129, 16421, F4, 23) (dual of [16421, 16292, 24]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4129, 16421, F4, 23) (dual of [16421, 16292, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4129, 13506, F4, 23) (dual of [13506, 13377, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4129, 13506, F4, 3, 23) (dual of [(13506, 3), 40389, 24]-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.