Information on Result #1717750
Digital (55, 68, 4100)-net over F4, using net defined by OOA based on linear OOA(468, 4100, F4, 15, 13) (dual of [(4100, 15), 61432, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(468, 8201, F4, 3, 13) (dual of [(8201, 3), 24535, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(468, 8201, F4, 2, 13) (dual of [(8201, 2), 16334, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(468, 16402, F4, 13) (dual of [16402, 16334, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 16403, F4, 13) (dual of [16403, 16335, 14]-code), using
- construction XX applied to Ce(12) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(43, 18, F4, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(12) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(468, 16403, F4, 13) (dual of [16403, 16335, 14]-code), using
- OOA 2-folding [i] based on linear OA(468, 16402, F4, 13) (dual of [16402, 16334, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(468, 8201, F4, 2, 13) (dual of [(8201, 2), 16334, 14]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.