A Six-Point Variant on the Lane-Riesenfeld Algorithm

Table 1

Complexity, support, and mask of the 𝑞-schemes corresponding to different values of 𝑚, and here 𝑁 shows complexity of the schemes (i.e., 6-, 8-, 11-, and 13-point schemes) and 𝑆 stands for support width.

𝑚	𝑁	𝑆	Mask
0	6	10	𝛼^06=1[2563, 0, −25, 0, 150, 256, 150, 0, −25, 0, 3]
1	8	15	𝛼^18=1256^2[9, −75, 375, 1075, −3375, −6723, 17175, 57075, 57075, 17175, −6723, −3375, 1075, 375, −75, 9]
2	11	20	𝛼^211=1256^3[27,−450,4350,−16050,7775,283608,−135000,1798600,399750,9920100,      16223412, 9920100, 399750, 1798600, −135000, 283608, 7775, −16050, 4350, −450, 27]
3	13	25	𝛼^313=1256^4[81, −2025, 28350, −220350, 1008900, −1087220, −8846550, 42100950, 68212925,; −277340325, −404933940, 1216712500, 3659334000, 3659334000, 1216712500, −404933940,; −277340325, 68212925, 42100950, −8846550, −1087220, 1008900, −220350, 28350, −2025, 81]