Information on Result #1544943
Linear OOA(4241, 356268, F4, 3, 32) (dual of [(356268, 3), 1068563, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4241, 356268, F4, 2, 32) (dual of [(356268, 2), 712295, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4241, 524293, F4, 2, 32) (dual of [(524293, 2), 1048345, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 1048586, F4, 32) (dual of [1048586, 1048345, 33]-code), using
- 1 times truncation [i] based on linear OA(4242, 1048587, F4, 33) (dual of [1048587, 1048345, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(4241, 1048576, F4, 33) (dual of [1048576, 1048335, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(4242, 1048587, F4, 33) (dual of [1048587, 1048345, 34]-code), using
- OOA 2-folding [i] based on linear OA(4241, 1048586, F4, 32) (dual of [1048586, 1048345, 33]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.