Information on Result #906832
Linear OOA(3220, large, F32, 2, 4), using generalized (u, u+v)-construction based on
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, s, F32, 2, 0) for arbitrarily large s, using
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(320, 524290, F32, 2, 0) (dual of [(524290, 2), 1048580, 1]-NRT-code) (see above)
- linear OOA(321, 524290, F32, 2, 1) (dual of [(524290, 2), 1048579, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- linear OOA(321, 524290, F32, 2, 1) (dual of [(524290, 2), 1048579, 2]-NRT-code) (see above)
- linear OOA(325, 524290, F32, 2, 2) (dual of [(524290, 2), 1048575, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(325, 1082401, F32, 2, 2) (dual of [(1082401, 2), 2164797, 3]-NRT-code), using
- appending kth column [i] based on linear OA(325, 1082401, F32, 2) (dual of [1082401, 1082396, 3]-code), using
- Hamming code H(5,32) [i]
- appending kth column [i] based on linear OA(325, 1082401, F32, 2) (dual of [1082401, 1082396, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(325, 1082401, F32, 2, 2) (dual of [(1082401, 2), 2164797, 3]-NRT-code), using
- linear OOA(3213, 524290, F32, 2, 4) (dual of [(524290, 2), 1048567, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3213, 1048580, F32, 4) (dual of [1048580, 1048567, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(329, 1048576, F32, 3) (dual of [1048576, 1048567, 4]-code or 1048576-cap in PG(8,32)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(3213, 1048580, F32, 4) (dual of [1048580, 1048567, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3220, large, F32, 2, 3) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, large, F32, 2, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3224, large, F32, 2, 4) | [i] | ||
| 4 | Linear OOA(3226, large, F32, 2, 4) | [i] | ||
| 5 | Linear OOA(3228, large, F32, 2, 4) | [i] | ||
| 6 | Linear OOA(3230, large, F32, 2, 4) | [i] | ||
| 7 | Linear OOA(3232, large, F32, 2, 4) | [i] | ||
| 8 | Linear OOA(3234, large, F32, 2, 4) | [i] | ||
| 9 | Linear OOA(3238, large, F32, 2, 4) | [i] | ||
| 10 | Linear OOA(3240, large, F32, 2, 4) | [i] | ||
| 11 | Linear OOA(3242, large, F32, 2, 4) | [i] | ||
| 12 | Linear OOA(3244, large, F32, 2, 4) | [i] | ||
| 13 | Linear OOA(3246, large, F32, 2, 4) | [i] | ||
| 14 | Linear OOA(3248, large, F32, 2, 4) | [i] | ||
| 15 | Linear OOA(3250, large, F32, 2, 4) | [i] | ||
| 16 | Linear OOA(3252, large, F32, 2, 4) | [i] | ||
| 17 | Linear OOA(3254, large, F32, 2, 4) | [i] | ||
| 18 | Linear OOA(3256, large, F32, 2, 4) | [i] | ||
| 19 | Linear OOA(3258, large, F32, 2, 4) | [i] | ||
| 20 | Linear OOA(3260, large, F32, 2, 4) | [i] | ||
| 21 | Linear OOA(3262, large, F32, 2, 4) | [i] | ||
| 22 | Linear OOA(3264, large, F32, 2, 4) | [i] | ||
| 23 | Linear OOA(3266, large, F32, 2, 4) | [i] | ||
| 24 | Linear OOA(3268, large, F32, 2, 4) | [i] | ||
| 25 | Linear OOA(3270, large, F32, 2, 4) | [i] | ||
| 26 | Linear OOA(3272, large, F32, 2, 4) | [i] | ||
| 27 | Linear OOA(3274, large, F32, 2, 4) | [i] | ||
| 28 | Linear OOA(3276, large, F32, 2, 4) | [i] | ||
| 29 | Linear OOA(3278, large, F32, 2, 4) | [i] | ||
| 30 | Linear OOA(3280, large, F32, 2, 4) | [i] | ||
| 31 | Linear OOA(3282, large, F32, 2, 4) | [i] | ||
| 32 | Linear OOA(3284, large, F32, 2, 4) | [i] | ||
| 33 | Linear OOA(3286, large, F32, 2, 4) | [i] | ||
| 34 | Linear OOA(3288, large, F32, 2, 4) | [i] | ||
| 35 | Linear OOA(3290, large, F32, 2, 4) | [i] | ||
| 36 | Linear OOA(3292, large, F32, 2, 4) | [i] | ||
| 37 | Linear OOA(3294, large, F32, 2, 4) | [i] | ||
| 38 | Linear OOA(3296, large, F32, 2, 4) | [i] | ||
| 39 | Linear OOA(3298, large, F32, 2, 4) | [i] | ||
| 40 | Linear OOA(32100, large, F32, 2, 4) | [i] | ||
| 41 | Linear OOA(32102, large, F32, 2, 4) | [i] | ||
| 42 | Linear OOA(32104, large, F32, 2, 4) | [i] | ||
| 43 | Linear OOA(32106, large, F32, 2, 4) | [i] | ||
| 44 | Linear OOA(32108, large, F32, 2, 4) | [i] | ||
| 45 | Linear OOA(32110, large, F32, 2, 4) | [i] | ||
| 46 | Linear OOA(3221, large, F32, 2, 4) | [i] | OOA Duplication | |
| 47 | Linear OOA(3220, 8388602, F32, 6, 4) (dual of [(8388602, 6), 50331592, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |