Information on Result #901834
Linear OOA(3250, 4718594, F32, 2, 8) (dual of [(4718594, 2), 9437138, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3214, 524293, F32, 2, 4) (dual of [(524293, 2), 1048572, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3214, 1048586, F32, 4) (dual of [1048586, 1048572, 5]-code), using
- construction X4 applied to Ce(3) ⊂ Ce(1) [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(325, 1048576, F32, 2) (dual of [1048576, 1048571, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(329, 10, F32, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,32)), using
- dual of repetition code with length 10 [i]
- linear OA(321, 10, F32, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- Reed–Solomon code RS(31,32) [i]
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- construction X4 applied to Ce(3) ⊂ Ce(1) [i] based on
- OOA 2-folding [i] based on linear OA(3214, 1048586, F32, 4) (dual of [1048586, 1048572, 5]-code), using
- linear OOA(3236, 4194301, F32, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3250, 2359296, F32, 10, 8) (dual of [(2359296, 10), 23592910, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |