Information on Result #1186230
Digital (91, 103, 699055)-net over F4, using net defined by OOA based on linear OOA(4103, 699055, F4, 12, 12) (dual of [(699055, 12), 8388557, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(4103, 4194330, F4, 12) (dual of [4194330, 4194227, 13]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4101, 4194328, F4, 12) (dual of [4194328, 4194227, 13]-code), using
- construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(423, 24, F4, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,4)), using
- dual of repetition code with length 24 [i]
- linear OA(41, 24, F4, 1) (dual of [24, 23, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4101, 4194328, F4, 12) (dual of [4194328, 4194227, 13]-code), using
Mode: Constructive and 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.