3-bit Walsh permutation/matrix columns/inverses
This is like the big table in 3-bit Walsh permutation/matrix columns, but (apart from the first row) the transforms are made not with binary matrices, but with inverses of binary matrices.
The non-zero entries are in the same places as in the corresponding binary matrix, but some entries are negative 1s.
cc | cs | cp | t | main | positive | negative | ||||
---|---|---|---|---|---|---|---|---|---|---|
neut. | 3 | neut.37 | 124![]() |
![]() |
![]() 241 |
![]() 124 |
![]() 412 |
![]() 214 |
![]() 421 |
![]() 142 |
2+2 | 4 | P26 | 134![]() |
![]() |
![]() 341 |
![]() 134 |
![]() 413 |
![]() 314 |
![]() 431 |
![]() 143 |
2+2 | 4 | P26 | 125![]() |
![]() |
![]() 251 |
![]() 125 |
![]() 512 |
![]() 215 |
![]() 521 |
![]() 152 |
2+2 | 4 | P25 | 234![]() |
![]() |
![]() 243 |
![]() 324 |
![]() 432 |
![]() 234 |
![]() 423 |
![]() 342 |
2+2 | 4 | P25 | 126![]() |
![]() |
![]() 261 |
![]() 126 |
![]() 612 |
![]() 216 |
![]() 621 |
![]() 162 |
2+2 | 4 | P23 | 245![]() |
![]() |
![]() 245 |
![]() 524 |
![]() 452 |
![]() 254 |
![]() 425 |
![]() 542 |
2+2 | 4 | P23 | 146![]() |
![]() |
![]() 641 |
![]() 164 |
![]() 416 |
![]() 614 |
![]() 461 |
![]() 146 |
2+2 | 5a | R11 | 247![]() |
![]() |
![]() 247 |
![]() 724 |
![]() 472 |
![]() 274 |
![]() 427 |
![]() 742 |
2+2 | 5a | R12 | 147![]() |
![]() |
![]() 741 |
![]() 174 |
![]() 417 |
![]() 714 |
![]() 471 |
![]() 147 |
2+2 | 5a | R14 | 127![]() |
![]() |
![]() 271 |
![]() 127 |
![]() 712 |
![]() 217 |
![]() 721 |
![]() 172 |
2+2 | 5a | F37 | 135![]() |
![]() |
![]() 351 |
![]() 135 |
![]() 513 |
![]() 315 |
![]() 531 |
![]() 153 |
2+2 | 5a | F37 | 236![]() |
![]() |
![]() 263 |
![]() 326 |
![]() 632 |
![]() 236 |
![]() 623 |
![]() 362 |
2+2 | 5a | F37 | 456![]() |
![]() |
![]() 645 |
![]() 564 |
![]() 456 |
![]() 654 |
![]() 465 |
![]() 546 |
2+4 | 5b | BA 512 | 156![]() |
![]() |
![]() 651 |
![]() 165 |
![]() 516 |
![]() 615 |
![]() 561 |
![]() 156 |
2+4 | 5b | BA 514 | 136![]() |
![]() |
![]() 361 |
![]() 136 |
![]() 613 |
![]() 316 |
![]() 631 |
![]() 163 |
2+4 | 5b | BA 514 | 235![]() |
![]() |
![]() 253 |
![]() 325 |
![]() 532 |
![]() 235 |
![]() 523 |
![]() 352 |
2+4 | 5b | BA 511 | 256![]() |
![]() |
![]() 265 |
![]() 526 |
![]() 652 |
![]() 256 |
![]() 625 |
![]() 562 |
2+4 | 5b | BA 512 | 345![]() |
![]() |
![]() 345 |
![]() 534 |
![]() 453 |
![]() 354 |
![]() 435 |
![]() 543 |
2+4 | 5b | BA 511 | 346![]() |
![]() |
![]() 643 |
![]() 364 |
![]() 436 |
![]() 634 |
![]() 463 |
![]() 346 |
2+4 | 6 | BA 623 | 157![]() |
![]() |
![]() 751 |
![]() 175 |
![]() 517 |
![]() 715 |
![]() 571 |
![]() 157 |
2+4 | 6 | BA 625 | 137![]() |
![]() |
![]() 371 |
![]() 137 |
![]() 713 |
![]() 317 |
![]() 731 |
![]() 173 |
2+4 | 6 | BA 623 | 267![]() |
![]() |
![]() 267 |
![]() 726 |
![]() 672 |
![]() 276 |
![]() 627 |
![]() 762 |
2+4 | 6 | BA 626 | 237![]() |
![]() |
![]() 273 |
![]() 327 |
![]() 732 |
![]() 237 |
![]() 723 |
![]() 372 |
2+4 | 6 | BA 625 | 467![]() |
![]() |
![]() 647 |
![]() 764 |
![]() 476 |
![]() 674 |
![]() 467 |
![]() 746 |
2+4 | 6 | BA 626 | 457![]() |
![]() |
![]() 745 |
![]() 574 |
![]() 457 |
![]() 754 |
![]() 475 |
![]() 547 |
7a | 7 | S +11 | 357![]() |
![]() |
![]() 537 |
![]() 753 |
![]() 375 |
![]() 573 |
![]() 357 |
![]() 735 |
7a | 7 | S +12 | 367![]() |
![]() |
![]() 736 |
![]() 673 |
![]() 367 |
![]() 763 |
![]() 376 |
![]() 637 |
7a | 7 | S +14 | 567![]() |
![]() |
![]() 576 |
![]() 657 |
![]() 765 |
![]() 567 |
![]() 756 |
![]() 675 |