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 |