THE NONEXISTENCE OF TERNARY [29, 6, 17] CODES

 HAMADA Noboru
 DEPARTMENT OF APPLIED MATHEMATICS, OSAKA WOMEN'S UNIVERSITY
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Author(s)

 HAMADA Noboru
 DEPARTMENT OF APPLIED MATHEMATICS, OSAKA WOMEN'S UNIVERSITY
Journal

 Mathematica japonicae

Mathematica japonicae 46(2), 253264, 19970901
References: 45

1
 New linear codes of dimension 5 over GF(3)

BOGDANOVA G. T.
Proceedings of the Fourth International Workshop on Algebraic and Combinatorial Conding Theory, 4143, 1994
Cited by (1)

2
 On some connections between the design of experiments and information theory

BOSE R. C.
Bull. Inst. Inter. Statist. 38, 257271, 1961
Cited by (2)

3
 Bounds on the minimum length for ternary linear codes of dimension six

DASKALOV R. N.
Proceedings of twenty second spring conference of the union of Bulgarian Mathmaticiants, 1522, 1993
Cited by (1)

4
 A bound for errorcorrecting codes

GRIESMER J. H.
IBM J. Res. Develop 4, 532542, 1960
Cited by (6)

5
 New optimal ternary linear codes of dimension 6

GULLIVER T. A.
Ars Combin 40, 97108, 1995
Cited by (3)

6
 A survey of recent work on characterization of minihypers in PG(t, q) and nonbinary linear codes meeting the Griesmer bound

HAMADA N.
J. Combin. Inform. Syst. Sci. 18, 161191, 1993
Cited by (2)

7
 The nonexistence of quaternary linear codes with parameters [243, 5, 181], [248, 5, 185] and [240, 5, 179]

HAMADA N.
Ars Combinatoria 45, 1997
Cited by (2)

8
 A characterization of some minihypers in a finite projective geometry PG(t, 4)

HAMADA N.
Europ. J. Combin. 11, 541548, 1990
Cited by (4)

9
 A characterization of some linear codes over GF(4) meeting the Griesmer bound

HAMADA N.
Math. Japonica 37, 231242, 1992
Cited by (5)

10
 On a charanterization of some minihypers in PG(t, q) (q = 3 or 4) and its applications to errorcorrecting codes

HAMADA N.
Lecture Notes in Mathematics 1518, 4362, 1992
Cited by (1)

11
 A characterization of some minihypers and codes meeting the Griesmer bound over GF(q), q > 9

HAMADA N.
Lecture Notes in Pure and Applied Mathmatics Ser. 141, 105122, 1992
Cited by (1)

12
 A characterization of some qary codes (q > (h  1)^2, h greater than or equal 3) meeting the Griesmer bound

HAMADA N.
Math. Japonica 38, 925939, 1993
Cited by (2)

13
 A characterization of some ternary codes meeting the Griesmer bound

HAMADA N.
Amer. Math. Soc. Contemp. Math. 168, 139150, 1994
Cited by (2)

14
 The nonexistence of ternary [270, 6, 179] codes and [309, 6, 205] codes

HAMADA N.
Proceedings of the International Workshop on "Optimal codes and Rekated Topics", 6568, 1995
Cited by (1)

15
 A characterization of {3v_1 + v_4, 3v_0 + v_3; 4, 3} minihypers and projective ternary [78, 5, 51; 3] codes

HAMADA N.
Math. Japonica 43, 253266, 1996
Cited by (2)

16
 There are exactly two nonequivalent [20, 5, 12 ; 3]codes

HAMADA N.
Ars Combin 35, 314, 1993
Cited by (6)

17
 The nonexistence of [51, 5, 33 ; 3]codes

HAMADA N.
Ars Combin. 35, 2532, 1993
Cited by (4)

18
 Construction of optimal linear codes using flats and spreads in a finite projective geometry

HAMADA N.
Europ J. Combin 3, 129141, 1982
Cited by (3)

19
 The nonexistence of some ternary linear codes of dimension 6 and the bounds for n_3(6, d), 1 less than or equal d less than or equal 243

HAMADA N.
Math. Japonica 43, 577593, 1996
Cited by (2)

20
 Some optimal ternary linear codes

HILL R.
Ars Combin 25(A), 6172, 1988
Cited by (3)

21
 <no title>

LIDL R.
Finite Fields, Encyclopedia of Mathematics and Its Applications 20, 1983
Cited by (4)

22
 On a bound useful in the theory of factorial designs and error correcting codes

BOSE R. C.
Ann. Math. Statist. 35, 408414, 1964
DOI Cited by (2)

23
 The correspondence between projective codes and 2weight codes, Designs

BROUWER A. E.
Codes and Cryptography 11, 261266, 1997
DOI Cited by (2)

24
 Four nonexistence results for ternary linear codes

VAN EUPEN M.
IEEE Trans. Inform. Theory 41, 800805, 1995
Cited by (2)

25
 Some new results for ternary linear codes of dimension 5 and 6

VAN EUPEN M.
IEEE Trans. Inform. Theory 41, 20482051, 1995
Cited by (3)

26
 The nonexistence of ternary [50, 5, 32] codes

VAN EUPEN M.
Designs, Codes and Cryptography 7, 235237, 1995
DOI Cited by (6)

27
 An optimal ternary [69, 5, 45] code and related codes

VAN EUPEN M.
Designs, Codes and Cryptography 4, 271282, 1994
DOI Cited by (7)

28
 Classification of some optimal ternary linear codes of small lenght

VAN EUPEN M.
Designs, Codes and Cryptography 10, 6384, 1997
DOI Cited by (1)

29
 New optimal ternary linear codes

GULLIVER T. A.
LEEE Tran. Inform. Theory 41, 11821185, 1995
Cited by (1)

30
 Some best rate 1/p and (p  1)/p quasicyclic codes over GF(3) and GF(4)

GULLIVER T. A.
LEEE Tran. Inform. Theory 38, 13691374, 1992
Cited by (2)

31
 A characterization of some [n, k, d ; q]codes meeting the Griesmer bound using a minihyper in a finite projective geometry

HAMADA N.
Discrete Math. 116, 229268, 1993
DOI Cited by (7)

32
 THE NONEXISTENCE OF SOME QUATERNARY LINEAR CODES MEETING THE GRIESMER BOUND AND THE BOUNDS FOR n_4(5, d), 1 【less than or equal】 d 【less than or equal】 256

HAMADA Noboru
Math. Japonica 43(1), 721, 19960101
References (40) Cited by (4)

33
 A necessary and sufficient condition for the existence of some ternary [n, k, d] codes meeting the Griesmer bound

HAMADA N.
Designs, Codes and Cryptography 10, 4156, 1997
DOI Cited by (3)

34
 A characterization of {2ν_<α+1>+2ν_<β+1>, 2ν_α+2ν_β ; t, q}minihypers in PG (t, q) (t*2, q*5 and 0*α<β<t) and its applications to errorcorrecting codes

HAMADA N.
Discrete Math. 93, 1933, 1991
DOI Cited by (6)

36
 Construction of some optimal ternary codes and the uniqueness of [294, 6, 195 ; 3]codes meeting the Griesmer bound

HAMADA N.
Finite Fields and Their Applications 1, 458468, 1995
DOI Cited by (5)

37
 A characterization of {3v_2 + v_3, 3v_1 + v_2; 3, 3} minihtpers and some [15, 4, 9; 3] codes sith B_2 = 0

HAMADA N.
J. Statist. Plann. Inference 56, 129146, 1996
DOI Cited by (2)

38
 The uniqueness of [87, 5, 57 ; 3]codes and the nonexistence of [258, 6, 171 ; 3]codes

HAMADA N.
J. Statist. Plann. Inference 56, 105127, 1996
DOI Cited by (3)

39
 On the construction of [q^4+q^2q, 5, q^4q^3+q^22q ; q]codes meeting the Griesmer bound

HAMADA N.
Designs, Codes and Cryptography 2, 225229, 1992
DOI Cited by (6)

40
 A characterization of some {3v_1 + v_3, 3v_0 + v_2; 3, 3} minihypers

HAMADA N.
J. Statist. Plann. Inference 56, 147169, 1996
DOI Cited by (2)

41
 A CHARACTERIZATION OF SOME qARY LINEAR CODES (q > (h  1)^2, h greater than or equal 3) MEETING THE GRIESMER BOUND : PART 2

HAMADA Noboru , MAEKAWA Tomoko
Math. Japonica. 46(2), 241252, 19970901
References (36) Cited by (1)

42
 On a geometrical method of construction of maximal tlinearly independent sets

HAMADA N.
J. Combin. Theory, A 25, 1428, 1978
DOI Cited by (7)

43
 The nonexistence of [71, 5, 46; 3] codes

HAMADA N.
J. Statist. Plann. Inference 52, 379394, 1996
DOI Cited by (2)

44
 Caps and codes

HILL R.
Discrete Math. 22, 111137, 1978
DOI Cited by (6)

45
 Optimal ternary linear codes

HILL R.
Designs, Codes and Cryptography 2, 137157, 1992
DOI Cited by (7)